+ All Categories
Home > Documents > Matrix Inversion - Universitas Brawijaya

Matrix Inversion - Universitas Brawijaya

Date post: 14-Nov-2021
Category:
Upload: others
View: 5 times
Download: 0 times
Share this document with a friend
36
Transcript
Page 1: Matrix Inversion - Universitas Brawijaya
Page 2: Matrix Inversion - Universitas Brawijaya
Page 3: Matrix Inversion - Universitas Brawijaya
Page 4: Matrix Inversion - Universitas Brawijaya

Matrik Identitas

Page 5: Matrix Inversion - Universitas Brawijaya

Matrik Invers

Page 6: Matrix Inversion - Universitas Brawijaya

Next

Page 7: Matrix Inversion - Universitas Brawijaya
Page 8: Matrix Inversion - Universitas Brawijaya
Page 9: Matrix Inversion - Universitas Brawijaya
Page 10: Matrix Inversion - Universitas Brawijaya

Matriks Inverse dan Persamaan Linear

Page 11: Matrix Inversion - Universitas Brawijaya
Page 12: Matrix Inversion - Universitas Brawijaya
Page 13: Matrix Inversion - Universitas Brawijaya
Page 14: Matrix Inversion - Universitas Brawijaya
Page 15: Matrix Inversion - Universitas Brawijaya

Ada Pertanyaan?

Page 16: Matrix Inversion - Universitas Brawijaya

Cofactor

Page 17: Matrix Inversion - Universitas Brawijaya
Page 18: Matrix Inversion - Universitas Brawijaya
Page 19: Matrix Inversion - Universitas Brawijaya
Page 20: Matrix Inversion - Universitas Brawijaya

Jawab

Let us start in the top left-hand corner and work row by row. For cofactor A11, the element a11 = 2 lies in the first row and first column, so we delete this row and column to produce the 2 × 2 matrix

Page 21: Matrix Inversion - Universitas Brawijaya

Next

Page 22: Matrix Inversion - Universitas Brawijaya

For cofactor A12, the element a12 = 4 lies in the first row and second column, so we delete this row and

column to produce the 2 × 2 matrix

Page 23: Matrix Inversion - Universitas Brawijaya

We are now in a position to describe how to calculate the determinant and inverse of a

3 × 3 matrix…

Page 24: Matrix Inversion - Universitas Brawijaya

If we expand along the first row ofthe matrix..

Page 25: Matrix Inversion - Universitas Brawijaya
Page 26: Matrix Inversion - Universitas Brawijaya
Page 27: Matrix Inversion - Universitas Brawijaya

It is immaterial which row or column we use. Let us choose the second row.

Page 28: Matrix Inversion - Universitas Brawijaya
Page 29: Matrix Inversion - Universitas Brawijaya

Matrik Inverse untuk 3x3

Page 30: Matrix Inversion - Universitas Brawijaya
Page 31: Matrix Inversion - Universitas Brawijaya
Page 32: Matrix Inversion - Universitas Brawijaya
Page 33: Matrix Inversion - Universitas Brawijaya
Page 34: Matrix Inversion - Universitas Brawijaya
Page 35: Matrix Inversion - Universitas Brawijaya

Latihan Soal

Page 36: Matrix Inversion - Universitas Brawijaya

Recommended