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Invers 2x2
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[CODE]
Public Function Det22(Matrix()) As Boolean
Di A As !on"
Di B As !on"Di C As !on"
Di # As !on"
A $ Matrix(%& %)
B $ Matrix(%& 2)
C $ Matrix(2& %)
# $ Matrix(2& 2)
I' (A #) (B C) $ * +,en
Det22 $ False
Else
Det22 $ +rue
En# I'
En# Function
Public Function -Det22(Matrix()) As Double
Di A As !on"
Di B As !on"
Di C As !on"
Di # As !on"
A $ Matrix(%& %)
B $ Matrix(%& 2)
C $ Matrix(2& %)# $ Matrix(2& 2)
-Det22 $ (A #) (B C)
En# Function
[.CODE]
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Invers /x/
______________________________________________________________
[CODE]
Public Function Det//(Matrix()) As Boolean
Di A%% As !on"
Di A%2 As !on"Di A%/ As !on"
Di A2% As !on"
Di A22 As !on"
Di A2/ As !on"
Di A/% As !on"
Di A/2 As !on"
Di A// As !on"
Di -alue As Double
A%% $ Matrix(%& %)
A%2 $ Matrix(%& 2)
A%/ $ Matrix(%& /)
A2% $ Matrix(2& %)
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A22 $ Matrix(2& 2)
A2/ $ Matrix(2& /)
A/% $ Matrix(/& %)
A/2 $ Matrix(/& 2)
A// $ Matrix(/& /)
0Aturan 1arrus-alue $ (A%% A22 A//) (A%2 A2/ A/%) (A%/ A2% A/2) (A/% A22
A%/) (A/2 A2/ A%%) (A// A2% A%2)
I' -alue $ * +,en
Det// $ False
Else
Det// $ +rue
En# I'
En# Function
Public Function -Det//(Matrix()) As Double 0Mencari Deterinan atri3s / x / #"n
Aturan 1arrus
Di A%% As !on"
Di A%2 As !on"
Di A%/ As !on"
Di A2% As !on"
Di A22 As !on"
Di A2/ As !on"
Di A/% As !on"
Di A/2 As !on"
Di A// As !on"
A%% $ Matrix(%& %)
A%2 $ Matrix(%& 2)A%/ $ Matrix(%& /)
A2% $ Matrix(2& %)
A22 $ Matrix(2& 2)
A2/ $ Matrix(2& /)
A/% $ Matrix(/& %)
A/2 $ Matrix(/& 2)
A// $ Matrix(/& /)
-Det// $ (A%% A22 A//) (A%2 A2/ A/%) (A%/ A2% A/2) (A/% A22
A%/) (A/2 A2/ A%%) (A// A2% A%2)
En# Function
[.CODE]
1al a4li3asi
Permasalahan ini berawal dari tugas Aljabar Linear. Mumpung nganggur aku coba nyicil ngerjain dikit".Kesusahan ngetik matriks yang berordo 4x4. Aku bngung co d Ms.!ord #$# cuman bisa buat matriks ordomaksimal %x% di &'uation &ditor.
(etelah utak katik. . . .akhirnya ' temuin jg caranya. )egini caranya*+ara membuat matrik berordo 4x4
$. Klik menu insert lalu pilih &'uation ,untuk -ile yang tersimpan pada word compatibility mode/ alias pengsa0e1an pada word 231##% maka sa0e dulu menjadi #$# atau ##3
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. Klik option matrik
%. )uat dulu matriks berordo x yang menggunakan kurung4. Klik salah satu komponen di dalam matriks terserah yang mana. Lalu klik pada option matrik %x$
5. 6asilnya seperti ini lakukan langkah yang sama untuk elemen matrik yang lainnya
7. 6asilnya seperti ini
3. 8empatkan kursor sebelah kanan elemen matrik ,di dalam kurung9 lalu beri spasi sesuai jarak antara elemen
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:. Matrik blok;sorot matrik tersebut,semua elemen dalam kurung9 lalu copi dan paste dan tempatkan hasilsalinnya pada posisi ,kursosr9 yang telah di beri spasi
2. Lalu input;ketik dech angka matrik yang kita inginkan
$#. ow +olumn and ?umerial yang disatukan dalam sebuahsimbol matriks ,119
contoh pengolahan matriks ordo 4x4Mencari Minor, Cofaktor, Adjoin, Deterinan dan In!er" #ada atrik" ordo 4 $ 4
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@iposkan oleh anggi setiawan di $4.54 % komentar* Kirimkan ni lewat &mail )log8hisB )erbagi ke 8witter)erbagi ke Cacebook)agikan ke Pinterest
)eranda
Langganan* &ntri ,Atom9
%AM
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an((i "etia)an Lihat pro-il lengkapku
ARSI* B+O&
• D #$4 ,$9
o D ?o0ember ,$9
Matriks tersusun atas >ow +olumn and ?umerial yan...
8emplate Picture !indow. @iberdayakan oleh )logger .
Math ( )eauti-ul
Menu utama
Skip to content
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Soal UTS/UAS S U!M• Tan"a #a$a% MAT&MAT'KA
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• Tukar Link
(&P 13#$
Menghitung @eterminan Matriks Menggunakan Ko-aktor
() *otes
Pada tulisan ini saya akan membagikan sidikit ilmu yang saya dapat tentang
bagaimana cara menghitung determinan matriks. Metode yang digunakan adalah
menggunakan Ekspansi Kofaktor. Metode ini tidak hanya digunakan untuk
menghitung determinan matriks atau tapi digunakan untuk matriks
yang berordo lebih besar lagi seperti, dan seterusnya. Untuk
menghitung determinan menggunakan metode ini, rumusnya dijamin
oleh Teorema berikut.
Teorema 1.
Determinan matriks yang berukuran dapat dihitung dengan mengalikan entri-entri dalam
suatu baris (atau kolom) dengan kofaktor-kofaktornya dan menambahkan hasil-hasil kali yang
dihasilkan yakni untuk setiap dan , maka
det(A) = a1jC 1j + ajC j + ! + anjC nj
(ekspansi kofaktor sepanjang kolom ke-j)
atau
det(A) = ai1C i1 + aiC i + ! + ainC in
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(ekspansi kofaktor sepanjang baris ke-i)
Untuk lebih memperjelas apa itu kofaktor, perhatikan Definisi dibawah ini.
Definisi 2.
"ika A adalah matriks kuadrat, maka minor entri aij dinyatakan oleh # ij dan didefinisikan menjadi
determinan submatriks yang tetap setelah baris ke-i dan kolom ke-j di$oret dari A% &ilangan (-
1)i+j # ijdinyatakan oleh C ij dan dinamakan kofaktor entri aij .
Contoh 3.
Misalkan kita punya matriks A = . Tentukan minor entri a11, a12,
dan a13. Tentukan juga kofaktor entri M11, M12 dan M13
Penyelesaian.
minor entri a11 adalah M11 = = = !"#$ % &"'$ = ('
kofaktor a11 adalah )11 = "*($1+1M11 = "*($2"('$ = ('
minor entri a12 adalah M12 = = = +"#$ % ("'$ = (
kofaktor a12 adalah )12 = "*($1+2M12 = "*($3"($ = *(
minor entri a13 adalah M13 = = = +"&$ % ("!$ = -
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kofaktor a13 adalah )13 = "*($1+3M13 = "*($4"-$ = -
Contoh 4.
ari Contoh 1 diatas, tentukan determinan matriks A
Penyelesaian.
Menggunakan yang diberikan pada Teorema diatas dengan mengambil i = ( dan j
= (, +, dan -, maka diperoleh.
det"A$ = a11)11 / a12)12 / a13)13
= -"('$ / ("*($ / "*&$"-$
= % ( % (+
= +'
Contoh 5.
Tentukan determinan matriks A =
Penyelesaian.
Menggunakan yang diberikan pada Teorema diatas dengan mengambil i = - dan j
= (, +, dan -, maka diperoleh.
det"A$ =
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= a31)31 / a32)32 / a33)33
= a31"*($3+1M31 / a32"*($3+2M31 / a33"*($3+3M31
= a31M31 % a32M31 / a33M31
= - % + / +
= -0'"#$*"'$1 % +0"#$*#"$1 / +0"'$*#"'$1
= (&& % % 2'
=
atau jika ingin lebih cepat, kita bisa melihat entri yang mengandung nol
agar lebih mempersingkat waktu mengerjakan. 3arena dalam baris pertama
terdapat dua entri nol, maka i = ( dan j = (, +, - kemudian gunakan rumus.
det"A$ = a11)11 / a12)12 / a13)13
= a11"*($1+1M11 / a12"*($1+2M12 / a13"*($1+3M13
= a11M11 % a12M12 / a13M13
= % ' /
= % '0#"+$*#"-$1 /
=
Contoh 6.
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Tentukan determinan matriks 4 =
Penyelesaian.
dengan menggunakan kolom pertama pada matriks 4 sebagai kofaktor dan
berdasarkan Teorema diatas dengan mengambil i = (, +, -, & dan j = ( maka
diperoleh.
det"4$ =
= a11)11 / a21)21 / a31)31 / a41)41
= a11"*($1+1M11 / a21"*($2+1M21 / a31"*($3+1M31 / a41"*($4+1M41
= a11M11 % a21M21 / a31M31 % a41M41
= + % ( / %
hitung lagi determinan untuk matriks -5- nya
= +0ambil i = ( dan j = (, +, -1 % (0ambil i = (, +, - dan j = -1
6untuk matriks ketiga dan keempat tidak perlu dihitung karena
koefesiennya , sehingga apabila dikali, hasilnya akan tetap = 7
= +0a11)11 / a12)12 / a13)131 % (0a13)13 / a23)23 / a33)331 / %
= +0a11"*($1+1M11 / a12"*($1+2M12 / a13"*($1+3M131 % (0a13"*($1+3M13 / a23"*($2+3M23 /
a33"*($3+3M331
= +0a11M11 % a12M12 / a13M131 % (0a13M13 / a23M23 / a33M331
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= +" % ( / ( $ % ("( % / - $
= +"0("-$*+"$1 % (0+"-$*("$1 / (0+"+$*("($1$ % ("(0+"+$*("($1 %
0("+$*("-$1 / -0("($*+"-$1$
= +" % ' / -$ % ("- % / -"*!$$
= *' / (+
= '
Contoh 7.
Tentukan determinan matriks
Penyelesaian.
8elanjutnya, 3arena dan merupakan determinan ,
maka kita uraikan lagi dengan menggunakan kofaktor. Ambil
dan .
engan menggunkaan Metode Sarrus, diperoleh
https://aimprof08.wordpress.com/2015/12/06/metode-sarrus/https://aimprof08.wordpress.com/2015/12/06/metode-sarrus/
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engan menggunkaan Metode Sarrus, diperoleh
engan menggunkaan Metode Sarrus, diperoleh
engan menggunkaan Metode Sarrus, diperoleh
engan menggunkaan Metode Sarrus, diperoleh
9adi, diperoleh
Sumber : Anton, ;., (22+, Aljabar 'inier lementer ,
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Sare ti"-
• Face%ook -
• T$itter
• !oo+le
• etak
• Simpan Se%a+ai P0F
•
Terkait
Menghitung Determinan Menggunakan Eselon Barisdalam "Aljabar"
Determinan Matriks dengan Metode CH!dalam "Aljabar"
Metode arrusdalam "Aljabar"
B" aimpro123 4 Posted in Al5a%ar 4 Ta++ed determinan6 determinan matriks6 determinan matriks
(7(6 ko1aktor6 matriks
83
9avi+asi pos
'nterpolasi 9e$ton
Aturan Simpson - per : ;:<
83 comments on =Men+>itun+ 0eterminan MatriksMen++unakan Ko1aktor?
omment navi+ation
9e$er comments @
-. mojang priangan tea
OKTOBER 8, 2012 -28- AM
untuk ordo 4#4 n$a mana%%
BALAS
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aimpro123
OKTOBER 8, 2012 :2 PM
silahkan diba&a' sudah ditambahkan utk &ontoh matriks 4#4 n$a
BALAS
. neneng
OKTOBER 19, 2012 -3 PM
msh kurng (aham ma rumus 4#4
BALAS
aimpro123
OKTOBER 20, 2012 88 AM
bagaian mana $ang belum di(ahami%
determinan 4#4 ini ado(si ato (ngembangan dari 3#3' jadi sblumn$a &oba ngertiin $ang 3#3 trlebih
dahulu
BALAS
:. hilda
OKTOBER 24, 2012 (8( PM
assalam)*r)*b)) share donk)) a(a $g dimaksud dengan men&ari determinan dengan &ara langsung%% di bukun$a
ada soal n$ari determinan dengan &ara sarus' koaktor' eselon baris' obe' dan &ara langsung) ,ah $g sa$a g t*
tuh dengan &ara langsung)) a((a $aa maksudn$a%%
trims
BALAS
aimpro123
OKTOBER 24, 2012 C8- PM
*aalaikumslams$a juga baru dnger ni
klo boleh t* da(at dri buku mana -determinan dengan &ara langsung. %
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BALAS
(. Sapta Dadi
NOVEMBER 11, 2012 -2-C PM
sangat bermanaat'terimakasih
BALAS
8. est" $ulansari ;est"Ee+"<
NOVEMBER 12, 2012 -82 PM
setelah sa$a teliti'kok hasiln$a beda $a antara &ara eselon dengan koaktor (adahal angkan$a sama % mohon
saran)
BALAS
aimpro123
NOVEMBER 12, 2012 88- PM
kalo boleh tahu' &ontoh $g mana $ %
BALAS
est" $ulansari ;est"Ee+"<
NOVEMBER 13, 2012 --8 AM
&ontoh $ang menghhiung determinan B antara menggunakan &ara koaktor dengan artikel
anda $ang menghitung determinan dengan &ara eselon baris hasiln$a kok berbeda% kalo
koaktor hasiln$a /) ta(i klo eselon hasiln$a 120 mohon (en&erahann$a)terimakasih
BALAS
aimpro123
NOVEMBER 13, 2012 -2:) PM
oh i$a' baru sadar juga
dsana salah di !BE (ertama - -' seharusn$a - -) arena
kalo (ake ' ini mengakibatkan determiann$a 2 kali dari matriks
a*al ba&a dihtt(s00aim(ro5)*ord(ress)&om02120601/0siat7siat7
determinan7matriks0' siat no)38
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BALAS
Minami Kuro
NOVEMBER 14, 2012 (2 AM
itu bagian $ang mana $a mas% sa$a kurang (aham nih 797
BALAS
aimpro123
NOVEMBER 14, 2012 --2 AM
ini membhas mslah &ontoh $g ada ditulisn ini &ontoh 48
dengan &ontoh di Menghitung Determinan
Menggunakan Eselon Baris &ontoh 28
BALAS
est" $ulansari ;est"Ee+"<
NOVEMBER 14, 2012 -:2 PM
masih bingung mas))heehe
BALAS
aimpro123
NOVEMBER 14, 2012 -2( PM
jika kita melakukan !BE (ada suatu matriks maka
determinan matriks tersebut akan berubah jika kedua
baris di(ertukarkan atau kita kali suatu baris matriks
dengan skalar
ba&ahtt(s00aim(ro5)*ord(ress)&om02120601/0siat7
siat7determinan7matriks0 8
nah (ada &ontoh ditulisan sa$a itu
htt(s00aim(ro5)*ord(ress)&om0212060140menghitu
ng7determinan7menggunakan7eselon7baris0 8' dsana kan
s$a (ake o(erasi -baris kedua 2:B2 ; B1.' o(erasi B? @ 1202 @ /
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BALAS
/) PIN!"#$IK% Men&ari olusi ersamaan Menggunakan Aturan Cramer Math Beautiul
. anictk
DESEMBER 28, 2012 -2 AM
untuk determinan matrik dengan ordo 44 untuk men&ari minor bagaimana &aran$a% a(akah menggunakan
metode sarrus%%%%
BALAS
aimpro123
DESEMBER 28, 2012 8:C PM
sama &aran$a dgn ordo 3#3 s(rti &ontoh soal diatas
BALAS
3. Melinda Tresna$ati
JANUARI 20, 2013 -2C PM
mau nan$a kalo ordo 4 4 a(a ga bisa (ake &ara MA $ang (ake minor itu% terimakasih
BALAS
omment navi+ation
9e$er omments @
Berikan Baa!an
(elamat @atang di )log E
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8eseorang yang merupakan alumni mahasiswa Program 8tudi Matematika
di &ni'ersitas (ataramyang mencoba menulis dan berbagi apa yang sudah sayadapat baik di sekolah maupun kuliah khususnya tentang matematika. 8emoga
http://www.unram.ac.id/http://www.unram.ac.id/
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apa yang saya tulis di blog ini bermanfaat untuk kita semua.
8ranslate 8his )log
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surat elektronik)
Bergabunglah dengan FG5 (engikut lainn$a
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Kunjungan
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@a-tar si
Pem%a>asan TPA USM STA9 2-8 ;-<
Si1at uan+ *ektor
in+
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Pem%a>asan TPA 0eret USM STA9 2-:
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Aturan Kosinus
Pem%a>asan TPA USM STA9 2-: ;8<
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Pem%a>asan TPA USM STA9 2-: ;(<
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Lin+karan 0alam Se+iti+a
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Persamaan !aris Sin++un+ Lin+karan ;-< Kenapa #umla> Sisi Te+ak Se+iti+a Siku,Siku Le%i> Pan5an+ dari Sisi Mirin+H
Langganan
https://aimprof08.wordpress.com/2016/04/25/pembahasan-tpa-usm-stan-2015-1/https://aimprof08.wordpress.com/2016/04/24/sifat-ruang-vektor/https://aimprof08.wordpress.com/2016/04/21/ring/https://aimprof08.wordpress.com/2016/04/18/ruang-vektor/https://aimprof08.wordpress.com/2016/04/16/pembahasan-tpa-deret-usm-stan-2013/https://aimprof08.wordpress.com/2016/04/15/pembuktian-volume-limas/https://aimprof08.wordpress.com/2016/04/12/aturan-kosinus/https://aimprof08.wordpress.com/2016/04/10/pembahasan-tpa-usm-stan-2013-5/https://aimprof08.wordpress.com/2016/04/08/lingkaran-luar-segitiga/https://aimprof08.wordpress.com/2016/04/05/garis-singgung-persekutuan-dalam-dua-lingkaran/https://aimprof08.wordpress.com/2016/04/03/pembahasan-tpa-usm-stan-2013-4/https://aimprof08.wordpress.com/2016/04/03/try-out-sbmptn-bersama/https://aimprof08.wordpress.com/2016/04/01/lingkaran-dalam-segitiga/https://aimprof08.wordpress.com/2016/03/28/garis-singgung-persekutuan-luar-dua-lingkaran/https://aimprof08.wordpress.com/2016/03/26/pembahasan-tpa-usm-stan-2013-3/https://aimprof08.wordpress.com/2016/03/25/bekerja-bersama-sama/https://aimprof08.wordpress.com/2016/03/23/pembahasan-tpa-usm-stan-2013-2/https://aimprof08.wordpress.com/2016/03/22/persamaan-kuadrat/https://aimprof08.wordpress.com/2016/03/20/pembahasan-tpa-usm-stan-2013-1/https://aimprof08.wordpress.com/2016/03/18/isomorfisma-grup/https://aimprof08.wordpress.com/2016/03/14/homomorfisma-natural/https://aimprof08.wordpress.com/2016/03/10/kernel-dan-image-homomorfisma-grup/https://aimprof08.wordpress.com/2016/03/06/persamaan-garis-singgung-lingkaran-2-2/https://aimprof08.wordpress.com/2016/03/02/persamaan-garis-singgung-lingkaran-1/https://aimprof08.wordpress.com/2016/02/27/kenapa-jumlah-sisi-tegak-segitiga-siku-siku-lebih-panjang-dari-sisi-miring/https://aimprof08.wordpress.com/2016/02/27/kenapa-jumlah-sisi-tegak-segitiga-siku-siku-lebih-panjang-dari-sisi-miring/https://aimprof08.wordpress.com/2016/04/25/pembahasan-tpa-usm-stan-2015-1/https://aimprof08.wordpress.com/2016/04/24/sifat-ruang-vektor/https://aimprof08.wordpress.com/2016/04/21/ring/https://aimprof08.wordpress.com/2016/04/18/ruang-vektor/https://aimprof08.wordpress.com/2016/04/16/pembahasan-tpa-deret-usm-stan-2013/https://aimprof08.wordpress.com/2016/04/15/pembuktian-volume-limas/https://aimprof08.wordpress.com/2016/04/12/aturan-kosinus/https://aimprof08.wordpress.com/2016/04/10/pembahasan-tpa-usm-stan-2013-5/https://aimprof08.wordpress.com/2016/04/08/lingkaran-luar-segitiga/https://aimprof08.wordpress.com/2016/04/05/garis-singgung-persekutuan-dalam-dua-lingkaran/https://aimprof08.wordpress.com/2016/04/03/pembahasan-tpa-usm-stan-2013-4/https://aimprof08.wordpress.com/2016/04/03/try-out-sbmptn-bersama/https://aimprof08.wordpress.com/2016/04/01/lingkaran-dalam-segitiga/https://aimprof08.wordpress.com/2016/03/28/garis-singgung-persekutuan-luar-dua-lingkaran/https://aimprof08.wordpress.com/2016/03/26/pembahasan-tpa-usm-stan-2013-3/https://aimprof08.wordpress.com/2016/03/25/bekerja-bersama-sama/https://aimprof08.wordpress.com/2016/03/23/pembahasan-tpa-usm-stan-2013-2/https://aimprof08.wordpress.com/2016/03/22/persamaan-kuadrat/https://aimprof08.wordpress.com/2016/03/20/pembahasan-tpa-usm-stan-2013-1/https://aimprof08.wordpress.com/2016/03/18/isomorfisma-grup/https://aimprof08.wordpress.com/2016/03/14/homomorfisma-natural/https://aimprof08.wordpress.com/2016/03/10/kernel-dan-image-homomorfisma-grup/https://aimprof08.wordpress.com/2016/03/06/persamaan-garis-singgung-lingkaran-2-2/https://aimprof08.wordpress.com/2016/03/02/persamaan-garis-singgung-lingkaran-1/https://aimprof08.wordpress.com/2016/02/27/kenapa-jumlah-sisi-tegak-segitiga-siku-siku-lebih-panjang-dari-sisi-miring/
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Persamaan Lin+karan
Domomorfsma !rup
!rup Faktor
Si1at,Si1at Su%+rup 9ormal
Su%+rup 9ormal
Teorema La+ran+e
Les Privat Matematika
Koset
Si1at,Si1at !rup Siklik
!rup Siklik
!a%un+an6 'risan dan Perkalian Su%+rup
Mem%uat Ta%el den+an LaTeI
0eterminan Matriks den+an Metode D'G
Berapa #umla> Se+i Ti+aH
Metode Sarrus
Mele$ati Titik den+an Maksimal !aris
Menulis 0ocument den+an LaTeI
Tanpa Mele$ati Sisi "an+ Sama
Ba+aimana Menentukan Bilan+an Prima H ;<
Karakteristik Su%+rup
Su%+rup
Si1at,Si1at !rup
Keter%a+ian
Komposisi Fun+si ;<
Ba+aimana Menentukan Bilan+an Prima H ;-<
Kon+ruensi Modulo ;<
Kon+ruensi Modulo ;-<
Akar suatu Bilan+an
TPA SBMPT9 2-
TPA SBMPT9 2-( ;<
TPA SBMPT9 2-(
Pem%a>asan TPA USM STA9 2-( ;:<
Pem%a>asan Matematika U9 SMA 2-8 ;(<
Pem%a>asan Matematika U9 SMA 2-8 ;:<
Pem%a>asan Matematika U9 SMA 2-8 ;<
Pem%a>asan Matematika U9 SMA 2-8 ;-< Pem%a>asan Matematika U9 SMA 2-: ;(<
Pem%a>asan Matematika U9 SMA 2-: ;:<
Pem%a>asan Matematika U9 SMA 2-: ;<
Pem%a>asan Matematika U9 SMA 2-: ;-<
Pem%a>asan TPA 0eret S9MPT9 2-- ;Kode Soal :<
Pem%a>asan TPA Matematika S9MPT9 2-- ;Kode Soal :<
Matriks 'nvers Ter+eneralisasi
Apa itu Matriks 'nvers Ter+eneralisasi H
Pem%a>asan Matematika U9 SMA 223 ;(<
Pem%a>asan Matematika U9 SMA 223 ;:< Pem%a>asan Matematika U9 SMA 223 ;
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Pem%a>asan Matematika U9 SMA 223 ;-<
Men++anti Gutput pada LaTeI
Kenapa P0F,I>an+e H
Pem%a>asan TPA USM STA9 0''' 2-( ;<
Pem%a>asan TPA USM STA9 0''' 2-( ;-<
2J2 tak terdefnisi H
Pem%a>asan Matematika U9 SMA 2-( ;(<
Pem%a>asan Matematika U9 SMA 2-( ;:<
ara 'nstall LaTeI
Pem%a>asan Matematika U9 SMA 2-( ;<
Luas Se+iempat Sem%aran+
Pem%a>asan Matematika U9 SMA 2-( ;-<
Pem%a>asan Matematika U9 SMA 2- ;(<
Pem%a>asan Matematika U9 SMA 2- ;:<
Pem%a>asan Matematika U9 SMA 2- ;-<
LaTeI 1or Face%ook
Pem%a>asan Matematika U9 SMA 2-- ;(<
Pem%a>asan Matematika U9 SMA 2-- ;:<
Pem%a>asan Matematika U9 SMA 2-2 ;(<
Mo>on Maa1
Pem%a>asan Matematika U9 SMA 2-2 ;:<
Pem%a>asan Matematika U9 SMA 2-2 ;<
Pem%a>asan Matematika U9 SMA 2- ;<
Pem%a>asan Matematika U9 SMA 2-2 ;-<
Teori !rup
Pem%a>asan Matematika U9 SMA 22C ;(<
Pem%a>asan Matematika U9 SMA 22C ;:<
Menulis &uation pada Blo+spot
Pem%a>asan Matematika U9 SMA 22C ;<
Pem%a>asan Matematika U9 SMA 22C ;-<
Akses #urnal !ratis
Pem%a>asan Matematika U9 SMA 22 ;:<
Pem%a>asan Matematika U9 SMA 22 ;<
Pem%a>asan Matematika U9 SMA 22 ;-<
'nvers Matriks den+an a"le",Damilton
Pro%lem ;:< 'nte+ral Tri+onometri Pem%a>asan &ksponen dan Lo+aritma U9 SMA ;(<
7 tan 7 -
Du%un+an Fun+si !amma dan Beta
'nte+ral dari 'nvers Fun+si Tri+onometri
Luas Kurva 0istri%usi 9ormal
Da%is 0i%a+i -:
Pro%lem ;:< 'nte+ral
Persamaan !aris Sin++un+ Lin+karan ;<
Si1at,Si1at Lo+aritma 9atural
- Turunan dari 'nvers Fun+si Tri+onometri
https://aimprof08.wordpress.com/2014/12/04/pembahasan-matematika-un-sma-2008-1/https://aimprof08.wordpress.com/2014/11/21/mengganti-output-pada-latex/https://aimprof08.wordpress.com/2014/10/15/kenapa-pdf-xchange/https://aimprof08.wordpress.com/2014/10/05/pembahasan-tpa-usm-stan-diii-2014-2/https://aimprof08.wordpress.com/2014/08/16/pembahasan-tpa-usm-stan-diii-2014-1/https://aimprof08.wordpress.com/2014/08/15/00-tak-terdefinisi/https://aimprof08.wordpress.com/2014/08/15/00-tak-terdefinisi/https://aimprof08.wordpress.com/2014/06/20/pembahasan-matematika-un-sma-2014-4/https://aimprof08.wordpress.com/2014/06/14/pembahasan-matematika-un-sma-2014-3/https://aimprof08.wordpress.com/2014/06/14/cara-install-latex/https://aimprof08.wordpress.com/2014/06/10/pembahasan-matematika-un-sma-2014-2/https://aimprof08.wordpress.com/2014/06/10/luas-segiempat-sembarang/https://aimprof08.wordpress.com/2014/06/06/pembahasan-matematika-un-sma-2014-1/https://aimprof08.wordpress.com/2014/05/14/pembahasan-matematika-un-sma-2012-4/https://aimprof08.wordpress.com/2014/05/09/pembahasan-matematika-un-sma-2012-3/https://aimprof08.wordpress.com/2014/05/01/pembahasan-matematika-un-sma-2012-1/https://aimprof08.wordpress.com/2014/04/30/latex-for-facebook/https://aimprof08.wordpress.com/2014/04/19/pembahasan-matematika-un-sma-2011-4/https://aimprof08.wordpress.com/2014/04/15/pembahasan-matematika-un-sma-2011-3/https://aimprof08.wordpress.com/2014/04/14/pembahasan-matematika-un-sma-2010-4/https://aimprof08.wordpress.com/2014/04/13/mohon-maaf/https://aimprof08.wordpress.com/2014/04/12/pembahasan-matematika-un-sma-2010-3/https://aimprof08.wordpress.com/2014/04/08/pembahasan-matematika-un-sma-2010-2/https://aimprof08.wordpress.com/2014/04/05/pembahasan-matematika-un-sma-2012-2/https://aimprof08.wordpress.com/2014/04/04/pembahasan-matematika-un-sma-2010-1/https://aimprof08.wordpress.com/2014/04/03/teori-grup/https://aimprof08.wordpress.com/2014/03/14/pembahasan-matematika-un-sma-2009-4/https://aimprof08.wordpress.com/2014/03/10/pembahasan-matematika-un-sma-2009-3/https://aimprof08.wordpress.com/2014/03/06/menulis-equation-pada-blogspot/https://aimprof08.wordpress.com/2014/03/06/pembahasan-matematika-un-sma-2009-2/https://aimprof08.wordpress.com/2014/03/02/pembahasan-matematika-un-sma-2009-1/https://aimprof08.wordpress.com/2014/03/02/akses-jurnal-gratis/https://aimprof08.wordpress.com/2014/02/20/pembahasan-matematika-un-sma-2007-3/https://aimprof08.wordpress.com/2014/02/15/pembahasan-matematika-un-sma-2007-2/https://aimprof08.wordpress.com/2014/02/11/pembahasan-matematika-un-sma-2007-1/https://aimprof08.wordpress.com/2014/01/23/invers-matriks-dengan-cayley-hamilton/https://aimprof08.wordpress.com/2013/12/23/problem-23-integral-trigonometri/https://aimprof08.wordpress.com/2013/12/23/problem-23-integral-trigonometri/https://aimprof08.wordpress.com/2013/12/08/pembahasan-eksponen-dan-logaritma-un-sma-4/https://aimprof08.wordpress.com/2013/10/27/x-tan-x-1/https://aimprof08.wordpress.com/2013/09/13/hubungan-fungsi-gamma-dan-beta/https://aimprof08.wordpress.com/2013/09/08/integral-dari-invers-fungsi-trigonometri/https://aimprof08.wordpress.com/2013/09/08/integral-dari-invers-fungsi-trigonometri/https://aimprof08.wordpress.com/2013/09/03/luas-kurva-distribusi-normal/https://aimprof08.wordpress.com/2013/09/03/luas-kurva-distribusi-normal/https://aimprof08.wordpress.com/2013/09/01/habis-dibagi-13/https://aimprof08.wordpress.com/2013/08/31/problem-23-integral/https://aimprof08.wordpress.com/2013/08/31/problem-23-integral/https://aimprof08.wordpress.com/2013/08/30/persamaan-garis-singgung-lingkaran-2/https://aimprof08.wordpress.com/2013/08/25/sifat-sifat-logaritma-natural/https://aimprof08.wordpress.com/2013/08/22/1-2/https://aimprof08.wordpress.com/2013/08/18/turunan-dari-invers-fungsi-trigonometri/https://aimprof08.wordpress.com/2013/08/18/turunan-dari-invers-fungsi-trigonometri/https://aimprof08.wordpress.com/2014/12/04/pembahasan-matematika-un-sma-2008-1/https://aimprof08.wordpress.com/2014/11/21/mengganti-output-pada-latex/https://aimprof08.wordpress.com/2014/10/15/kenapa-pdf-xchange/https://aimprof08.wordpress.com/2014/10/05/pembahasan-tpa-usm-stan-diii-2014-2/https://aimprof08.wordpress.com/2014/08/16/pembahasan-tpa-usm-stan-diii-2014-1/https://aimprof08.wordpress.com/2014/08/15/00-tak-terdefinisi/https://aimprof08.wordpress.com/2014/06/20/pembahasan-matematika-un-sma-2014-4/https://aimprof08.wordpress.com/2014/06/14/pembahasan-matematika-un-sma-2014-3/https://aimprof08.wordpress.com/2014/06/14/cara-install-latex/https://aimprof08.wordpress.com/2014/06/10/pembahasan-matematika-un-sma-2014-2/https://aimprof08.wordpress.com/2014/06/10/luas-segiempat-sembarang/https://aimprof08.wordpress.com/2014/06/06/pembahasan-matematika-un-sma-2014-1/https://aimprof08.wordpress.com/2014/05/14/pembahasan-matematika-un-sma-2012-4/https://aimprof08.wordpress.com/2014/05/09/pembahasan-matematika-un-sma-2012-3/https://aimprof08.wordpress.com/2014/05/01/pembahasan-matematika-un-sma-2012-1/https://aimprof08.wordpress.com/2014/04/30/latex-for-facebook/https://aimprof08.wordpress.com/2014/04/19/pembahasan-matematika-un-sma-2011-4/https://aimprof08.wordpress.com/2014/04/15/pembahasan-matematika-un-sma-2011-3/https://aimprof08.wordpress.com/2014/04/14/pembahasan-matematika-un-sma-2010-4/https://aimprof08.wordpress.com/2014/04/13/mohon-maaf/https://aimprof08.wordpress.com/2014/04/12/pembahasan-matematika-un-sma-2010-3/https://aimprof08.wordpress.com/2014/04/08/pembahasan-matematika-un-sma-2010-2/https://aimprof08.wordpress.com/2014/04/05/pembahasan-matematika-un-sma-2012-2/https://aimprof08.wordpress.com/2014/04/04/pembahasan-matematika-un-sma-2010-1/https://aimprof08.wordpress.com/2014/04/03/teori-grup/https://aimprof08.wordpress.com/2014/03/14/pembahasan-matematika-un-sma-2009-4/https://aimprof08.wordpress.com/2014/03/10/pembahasan-matematika-un-sma-2009-3/https://aimprof08.wordpress.com/2014/03/06/menulis-equation-pada-blogspot/https://aimprof08.wordpress.com/2014/03/06/pembahasan-matematika-un-sma-2009-2/https://aimprof08.wordpress.com/2014/03/02/pembahasan-matematika-un-sma-2009-1/https://aimprof08.wordpress.com/2014/03/02/akses-jurnal-gratis/https://aimprof08.wordpress.com/2014/02/20/pembahasan-matematika-un-sma-2007-3/https://aimprof08.wordpress.com/2014/02/15/pembahasan-matematika-un-sma-2007-2/https://aimprof08.wordpress.com/2014/02/11/pembahasan-matematika-un-sma-2007-1/https://aimprof08.wordpress.com/2014/01/23/invers-matriks-dengan-cayley-hamilton/https://aimprof08.wordpress.com/2013/12/23/problem-23-integral-trigonometri/https://aimprof08.wordpress.com/2013/12/08/pembahasan-eksponen-dan-logaritma-un-sma-4/https://aimprof08.wordpress.com/2013/10/27/x-tan-x-1/https://aimprof08.wordpress.com/2013/09/13/hubungan-fungsi-gamma-dan-beta/https://aimprof08.wordpress.com/2013/09/08/integral-dari-invers-fungsi-trigonometri/https://aimprof08.wordpress.com/2013/09/03/luas-kurva-distribusi-normal/https://aimprof08.wordpress.com/2013/09/01/habis-dibagi-13/https://aimprof08.wordpress.com/2013/08/31/problem-23-integral/https://aimprof08.wordpress.com/2013/08/30/persamaan-garis-singgung-lingkaran-2/https://aimprof08.wordpress.com/2013/08/25/sifat-sifat-logaritma-natural/https://aimprof08.wordpress.com/2013/08/22/1-2/https://aimprof08.wordpress.com/2013/08/18/turunan-dari-invers-fungsi-trigonometri/
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9ilai Lo+ ;2<
Fun+si !amma
0eret MacLaurin
'nte+ral lo+ 76 ln 76 dan eJ7
turunan 7JN7J;7 iemann
!aris Berat Se+iti+a
#umla> 0eret K>usus
*olume Bola den+an 'nte+ral Lipat Ti+a
Limit Tri+onometri Kasus K>usus
Men+>itun+ Akar den+an Dampiran Turunan
Pem%a>asan Matematika 0asar S'MAK U' 2- NKode Soal -O ;<
Pem%a>asan Matematika 0asar S'MAK U' 2- NKode Soal -O ;-<
Pro%lem ;<
Pro%lem ;-< Tin++i Se+iti+a
Pem%a>asan Matematika 0asar SBMPT9 2-: NKode Soal -O
Pem%a>asan 0eret TPA SBMPT9 2-: ;Kode Soal --<
Pem%a>asan TPA SBMPT9 2-: ;Kode Soal --<
Pro%lem;2< Tri+onometri
Topi Ulan+ Ta>un
Mem%uat &lips
Kumpulan Soal Test Matematika U!M Pascasar5ana
Pro%lem ;-C< Persamaan 0i1erensial
Pem%a>asan Potensi Akademik Pacasar5ana NPAPsO ;<
Pem%a>asan Potensi Akademik Pacasar5ana NPAPsO ;-<
Kumpulan Soal S'MAK U'
Kumpulan Soal UMPT9 / SPMB / S9MPT9
Kumpulan Soal U5ian 9asional SMA
Pen"elesaian Persamaan Linier Grde - Metode Faktor 'nte+ral
Pen"elesaian Persamaan 0i1erensial P0 Tidak &ksak ;Faktor 'nte+ral<
Pen"elesaian Persamaan 0i1erensial P0 &ksak
Pem%uktian Pan5an+ !aris Ba+i pada Se+iti+a
!rup dalam u%ik
Pen"elesaian Persamaan 0i1erensial P0 Tidak Domo+en Pen"elesaian Persamaan 0i1erensial P0 Domo+en
Pen"elesaian Persamaan 0i1erensial P0 Peu%a> Terpisa>
Mem%entuk Persamaan 0i1erensial
Persamaan 0i1erensial
Pem%a>asan Lati>an Soal 'nte+ral ;:< U9 SMA
Pem%uktian 'nte+ral cos 7 d7 sin 7
Persamaan !aris Sin++un+ Lin+karan den+an !radien Tertentu ;-<
Pro%lem ;-3< Kalkulus
Pem%uktian 'nte+ral sin d7 cos 7
'nte+ral aJ7 d7 Pro%lem ;-
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Pem%a>asan Lati>an Soal 'nte+ral ;< U9 SMA
Pem%a>asan Lati>an Soal 'nte+ral ;-< U9 SMA
Pem%a>asan Soal S'MAK U' 22C kode soal C-- ;<
Pem%a>asan Soal S'MAK U' 22C kode soal C-- ;-<
Pem%uktian umus Luas &lips
!aris Berat pada Se+iti+a
Pem%a>asan Lati>an Soal TPA 0eret ;)<
Mencari Solusi Persamaan Men++unakan Aturan ramer
Pem%a>asan Soal Persamaan dan Fun+si Kuadrat U9 SMA ;<
Koe1esien Binomial
Pem%uktian Lan+sun+
elasi Terurut Se%a+ian ;PGS&T<
Pem%a>asan Soal Lati>an &ksponen
Matematika "an+ Ane>
Bilan+an Prima dan 'rrasional
Pro%lem ;-)< Tri+onometri
Berapa cos -3 dera5at H
Pem%a>asan Lati>an Soal TPA 0eret ;8<
Penurunan umus tan;a %< dan tan ;a %<
Fi%onacci dan 'nduksi Matematika
0ari mana aJ a% %J H
Pro%lem ;-8< Men"elesaikan Ti+a Persamaan den+an GB&
Pro%lem ;-(<
Pro%lem ;-:< Tri+onometri
akin ( H
Akar : Bilan+an 'rrasional
sin -3 dera5at H
Pem%uktian umus Luas Selimut Kerucut
Pro%lem ;-< Tri+onometri
Pro%lem ;--<
Pem%uktian umus Tri+onometri cos;a %< dan cos;a %<
Pem%uktian Akar Bilan+an 'rrasional Secara !eometri
Soal Peluan+
Penurunan umus #arak Titik ke !aris
Pro%lem ;-2< Turunan dan Aritmatika
Bukti umus Tri+onometri sin;a %< dan sin;a %< Pem%a>asan Soal Lati>an &ksponen dan Lo+aritma U9 SMA ;:<
Pem%uktian umus *olume Bola
Pro"eksi *ektor
Pem%a>asan Lati>an Soal TPA 0eret ;8<
not>in+ is impossi%le on mat>ematic
Ke5adian Ane> pada 'nte+ral
!aris Tin++i pada Se+iti+a
Pro%lem ;C< Fun+si
Pem%uktian umus *olume Kerucut
Turunan lo+ 76 ln 76 aJ7 dan eJ7 H Pro%lem ;3< Fun+si
https://aimprof08.wordpress.com/2012/12/02/pembahasan-latihan-soal-integral-2-un-sma/https://aimprof08.wordpress.com/2012/12/01/pembahasan-latihan-soal-integral-1-un-sma/https://aimprof08.wordpress.com/2012/11/29/pembahasan-soal-simak-ui-2009-kode-911-2/https://aimprof08.wordpress.com/2012/11/26/pembahasan-soal-simak-ui-2009-kode-soal-911-1/https://aimprof08.wordpress.com/2012/11/22/pembuktian-rumus-luas-elips/https://aimprof08.wordpress.com/2012/11/19/garis-berat-pada-segitiga/https://aimprof08.wordpress.com/2012/11/18/pembahasan-latihan-soal-tpa-deret-6/https://aimprof08.wordpress.com/2012/11/17/mencari-solusi-persamaan-menggunakan-aturan-cramer/https://aimprof08.wordpress.com/2012/11/16/pembahasan-soal-persamaan-dan-fungsi-kuadrat-un-sma-2/https://aimprof08.wordpress.com/2012/11/15/koefesien-binomial/https://aimprof08.wordpress.com/2012/11/14/pembuktian-langsung/https://aimprof08.wordpress.com/2012/11/13/relasi-terurut-sebagian/https://aimprof08.wordpress.com/2012/11/10/pembahasan-soal-latihan-eksponen/https://aimprof08.wordpress.com/2012/11/09/matematika-yang-aneh/https://aimprof08.wordpress.com/2012/11/07/bilangan-prima-dan-irrasional/https://aimprof08.wordpress.com/2012/11/06/problem-16-trigonometri/https://aimprof08.wordpress.com/2012/11/06/problem-16-trigonometri/https://aimprof08.wordpress.com/2012/11/04/berapa-cos-18-derajat/https://aimprof08.wordpress.com/2012/11/04/pembahasan-latihan-soal-tpa-deret-5-2/https://aimprof08.wordpress.com/2012/11/03/penurunan-rumus-tana-b-dan-tan-a-b/https://aimprof08.wordpress.com/2012/11/02/fibonacci-dan-induksi-matematika/https://aimprof08.wordpress.com/2012/11/02/fibonacci-dan-induksi-matematika/https://aimprof08.wordpress.com/2012/10/29/dari-mana-a2-2ab-b2/https://aimprof08.wordpress.com/2012/10/29/problem-15-menyelesaikan-tiga-persamaan-dengan-obe/https://aimprof08.wordpress.com/2012/10/29/problem-14/https://aimprof08.wordpress.com/2012/10/28/problem-13-trigonometri/https://aimprof08.wordpress.com/2012/10/28/problem-13-trigonometri/https://aimprof08.wordpress.com/2012/10/27/yakin-2-2-4/https://aimprof08.wordpress.com/2012/10/26/akar-3-bilangan-irrasional/https://aimprof08.wordpress.com/2012/10/24/sin-18-derajat/https://aimprof08.wordpress.com/2012/10/22/pembuktian-rumus-luas-selimut-kerucut/https://aimprof08.wordpress.com/2012/10/21/3833/https://aimprof08.wordpress.com/2012/10/21/3833/https://aimprof08.wordpress.com/2012/10/21/problem-11/https://aimprof08.wordpress.com/2012/10/18/pembuktian-rumus-trigonometri-cosa-b-dan-cosa-b/https://aimprof08.wordpress.com/2012/10/17/pembuktian-akar-2-bilangan-irrasional-secara-geometri/https://aimprof08.wordpress.com/2012/10/15/soal-peluang/https://aimprof08.wordpress.com/2012/10/15/penurunan-rumus-jarak-titik-ke-garis/https://aimprof08.wordpress.com/2012/10/14/problem-10-turunan-dan-aritmatika/https://aimprof08.wordpress.com/2012/10/14/bukti-sina-b-sin-a-cos-b-cos-a-sin-b/https://aimprof08.wordpress.com/2012/10/13/pembahasan-soal-latihan-eksponen-dan-logaritma-un-sma-3/https://aimprof08.wordpress.com/2012/10/13/pembuktian-rumus-volume-bola/https://aimprof08.wordpress.com/2012/10/11/proyeksi-vektor/https://aimprof08.wordpress.com/2012/10/10/pembahasan-latihan-soal-tpa-deret-5/https://aimprof08.wordpress.com/2012/10/09/nothing-is-impossible-on-mathematic/https://aimprof08.wordpress.com/2012/10/06/kejadian-aneh-pada-integral/https://aimprof08.wordpress.com/2012/10/05/garis-tinggi-pada-segitiga/https://aimprof08.wordpress.com/2012/10/02/problem-9-fungsi/https://aimprof08.wordpress.com/2012/10/02/problem-9-fungsi/https://aimprof08.wordpress.com/2012/10/02/pembuktian-rumus-volume-kerucut/https://aimprof08.wordpress.com/2012/10/01/turunan-log-x-ln-x-ax-dan-ex/https://aimprof08.wordpress.com/2012/09/30/problem-8-fungsi/https://aimprof08.wordpress.com/2012/09/30/problem-8-fungsi/https://aimprof08.wordpress.com/2012/12/02/pembahasan-latihan-soal-integral-2-un-sma/https://aimprof08.wordpress.com/2012/12/01/pembahasan-latihan-soal-integral-1-un-sma/https://aimprof08.wordpress.com/2012/11/29/pembahasan-soal-simak-ui-2009-kode-911-2/https://aimprof08.wordpress.com/2012/11/26/pembahasan-soal-simak-ui-2009-kode-soal-911-1/https://aimprof08.wordpress.com/2012/11/22/pembuktian-rumus-luas-elips/https://aimprof08.wordpress.com/2012/11/19/garis-berat-pada-segitiga/https://aimprof08.wordpress.com/2012/11/18/pembahasan-latihan-soal-tpa-deret-6/https://aimprof08.wordpress.com/2012/11/17/mencari-solusi-persamaan-menggunakan-aturan-cramer/https://aimprof08.wordpress.com/2012/11/16/pembahasan-soal-persamaan-dan-fungsi-kuadrat-un-sma-2/https://aimprof08.wordpress.com/2012/11/15/koefesien-binomial/https://aimprof08.wordpress.com/2012/11/14/pembuktian-langsung/https://aimprof08.wordpress.com/2012/11/13/relasi-terurut-sebagian/https://aimprof08.wordpress.com/2012/11/10/pembahasan-soal-latihan-eksponen/https://aimprof08.wordpress.com/2012/11/09/matematika-yang-aneh/https://aimprof08.wordpress.com/2012/11/07/bilangan-prima-dan-irrasional/https://aimprof08.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Pem%uktian umus Luas Lin+karan
Turunan Fun+si Aturan Pan+kat
Kenapa 2R - H
Pem%uktian Aturan Kosinus
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Metode 9e$ton,ap>son ;9e$ton,ap>son Met>od<
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Lo+aritma dan Si1at,Si1atn"a
Metode Ba+i,0ua ;Bisection Met>od<
Pem%uktian umus =Kecap? ;a%c< Mencari Akar Persamaan Kuadrat
Pem%a>asan Lati>an Soal Glimpiade Matematika ;<
Menentukan Suku ke,n pada Barisan Aritmatika Bertin+kat
Pro%lem ;)< 'nte+ral Tri+onometri
Pro%lem ;8< Tri+onometri Pem%uktian 'nte+ral cotJ 7 d7 ,cot 7 7
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Pem%uktian 'nte+ral tanJ 7 d7 tan 7 7
Pem%uktian 'nte+ral cosJ 7 d7 7 V sin 7
Pem%uktian 'nte+ral sinJ 7 d7 7 V sin 7
Pem%uktian 'nte+ral cot 7 d7 ln Wsin 7W
Pem%uktian 'nte+ral sec 7 tan 7 d7 sec 7
Pem%uktian 'nte+ral csc 7 d7 ln Wcsc 7 cot 7W
Pem%uktian tan 7 d7 ,ln Wcos 7W
Pem%uktian 'nte+ral cscJ 7 d7 ,cot 7
Pem%uktian 'nte+ral sec 7 d7 ln Wsec 7 tan 7W
Pem%uktian 'nte+ral csc 7 cot 7 d7 ,csc 7
'nte+ral Tri+onometri dan Pem%uktian
Fun+si Bi5ekti1 ;Satu,Satu dan Pada<
Fun+si Pada ;Sur5ekti1<
Fun+si Satu,Satu ;'n5ekti1<
Turunan Fun+si Aturan Pem%a+ian
Turunan Fun+si Aturan Perkalian
Pem%uktian umus Luas La"an+,La"an+
Pem%uktian umus Luas Bela> Ketupat
Luas Se+iti+a Tanpa 0iketa>ui Tin++i
Pem%uktian Formula Deron
Pem%uktian umus Luas Trapesium
Pem%uktian umus Luas Se+iti+a
Pem%uktian umus Luas Perse+i Pan5an+
Pem%a>asan Lati>an Soal TPA 0eret ;<
Pem%a>asan Lati>an Soal TPA Aritmatika ;<
Pro%lem ;(< 'nte+ral Tri+onometri
Pem%uktian 'nte+ral secJ 7 d7 tan 7 c
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Pro%lem ;< Al5a%ar
Pro%lem ;-< Al5a%ar
Pem%a>asan Lati>an Soal TPA 0eret ;-<
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Pem%a>asan Lati>an Soal Glimpiade Matematika ;-<
Soal Glimpiade Matematika Ta>un 22C Pem%a>asan Soal Lati>an Tri+onometri U9 SMA ;(
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Pem%a>asan Soal Lati>an Tri+onometri U9 SMA ;:<
Pem%a>asan Soal Turunan U9 SMA ;:<
Pem%a>asan Soal Turunan U9 SMA ;<
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Pem%a>asan Soal Tri+onometri U9 SMA ;<
Pem%a>asan Soal Tri+onometri U9 SMA ;-<
Men+>itun+ Kuadrat Bilan+an Ti+a 0i+it ;atusan< den+an Muda>
Pem%a>asan Soal Lati>an TPA Matematika
Pem%a>asan Soal Persamaan Linier U9 SMA
Pem%a>asan Soal Persamaan dan Fun+si Kuadrat U9 SMA
Pem%a>asan Soal Peluan+ U9 SMA
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Pem%a>asan Soal Barisan dan 0eret !eometri U9 SMA
Pem%a>asan Soal Barisan dan 0eret Aritmatika U9 SMA
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