Post on 21-Dec-2015
transcript
Zen and the Art of MatLab
Damian Gordon
Hard work done by :
Daphne Gilbert &
Susan Lazarus
Introduction to MatLab
• MatLab is an interactive, matrix-based system for numeric computation and visualisation
• MATrix LABoratory
• Used in image processing, image synthesis, engineering simulation, etc.
References
• “Mastering MatLab” Duane Hanselman, Bruce Littlefield
• “The MatLab Primer” http://www.fi.uib.no/Fysisk/Teori/KURS/WRK/mat/mat.html
• “The MatLab FAQ” http://www.isr.umd.edu/~austin/ence202.d/matlab-faq.html
Printed Circuit Board
Specific Bond Selected
Bond Shape Estimated
MATLAB Command Window
To get started, type one of these: helpwin, helpdesk, or demo. For product information, type tour or visit www.mathworks.com. »
» help
HELP topics:
Creating Variables
>> varname = 12
varname =
12
>> SS = 56; N = 4; Tot_Num = SS + N
Tot_Num =
60
Operations
+ Addition
- Subtraction
* Multiplication
^ Power
\ Division
/ Division
• Add vars• Subtract vars
Multiplication • Raise to the power• Divide vars (A div B)• Divide vars (B div A)
Creating Complex Numbers
>> 3 + 2i
>> sqrt(9) + sin(0.5)*j
ans =
3.0000 + 0.4794i
Num = sqrt(9) + sin(0.5)*j
real(Num)
imag(Num)
Entering Matrices (1)
>> A = [1 2 3; 4 5 6; 7 8 9]
OR
>> A = [
1 2 3
4 5 6
7 8 9 ]
Entering Matrices (2)
• To create an NxM zero-filled matrix
>> zeros(N,M)• To create a NxN zero-filled matrix
>> zeros(N)• To create an NxM one-filled matrix
>> ones(N,M)• To create a NxN one-filled matrix
>> ones(N)
Entering Matrices (3)
• To create an NxM randomly-filled matrix (which is uniformly distributed)
>> rand(N,M)
• To create an NxM randomly-filled matrix (which is normally distributed)
>> randn(N,M)
Complex Matrices
• To enter a complex matrix, you may do it in one of two ways :
>> A = [1 2; 3 4] + i*[5 6;7 8]
OR
>> A = [1+5i 2+6i; 3+7i 4+8i]
MATLAB Command Window
» who
Your variables are:
a b c
» whos Name Size Bytes Class
a 8x8 512 double array b 9x9 648 double array c 9x9 648 double array
Grand total is 226 elements using 1808 bytes
Matrix Addition» A = [ 1 1 1 ; 2 2 2 ; 3 3 3]
» B = [3 3 3 ; 4 4 4 ; 5 5 5 ]
» A + B
ans =
4 4 4
6 6 6
8 8 8
Matrix Subtraction» A = [ 1 1 1 ; 2 2 2 ; 3 3 3]
» B = [3 3 3 ; 4 4 4 ; 5 5 5 ]
» B - A
ans =
2 2 2
2 2 2
2 2 2
Matrix Multiplication» A = [ 1 1 1 ; 2 2 2 ; 3 3 3]
» B = [3 3 3 ; 4 4 4 ; 5 5 5 ]
» A * B
ans =
12 12 12
24 24 24
36 36 36
Matrix - Power» A ^ 2
ans =
6 6 6
12 12 12
18 18 18
» A ^ 3
ans =
36 36 36
72 72 72
108 108 108
Matrix Transpose
A =
1 1 1
2 2 2
3 3 3
» A'
ans =
1 2 3
1 2 3
1 2 3
Matrix Division
Left Division \
x = A\B (is A*x=B)
>> A = rand(4)
>> B = rand(4)
>> C = A \ B
=> A * C = B
Right Division /
x=A/B (is x*A=B)
>> A = rand(4)
>> B = rand(4)
>> C = A / B
=> C * A = B
Matrix Operations
+ Addition
- Subtraction
* Multiplication
^ Power
‘ Conjugate Transpose
\ Left Division
/ Right Division
• Add matrices• Subtract matrices
Matrix Multiplication • Raise to the power• Get transpose• x = A\B (is A*x=B)• x=A/B (is x*A=B)