Consider the three matrices A= -1 1 0 -1 0 1 6 -2 -3 B= 2 0 1 C= 2 3 1 3 3 1 2 4 1 a) Show by calculating the product AC that C is the inverse matrix of A b) Hence calculate the solution to the linear system AX = B
Consider the three matrices A= -1 1 0 -1 0 1 6 -2 -3 B= 2 0 1 C= 2 3 1 3 3 1 2 4 1 a) Show by calculating the product AC that C is the inverse matrix of A b) Hence calculate the solution to the linear system AX = B
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 77E
Related questions
Question
Consider the three matrices
A=
-1 | 1 | 0 |
-1 | 0 | 1 |
6 | -2 | -3 |
B=
2 |
0 |
1 |
C=
2 | 3 | 1 |
3 | 3 | 1 |
2 | 4 | 1 |
a) Show by calculating the product AC that C is the inverse matrix of A
b) Hence calculate the solution to the linear system AX = B
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