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
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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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