Find the inverse of the given matrix, if it exists. Use the algorithm for finding A by row reducing [A IJ. 0 - 2 A= 2 1 -3 3 -4 -3

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.4: Similarity And Diagonalization
Problem 40EQ
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Find the inverse of the given matrix, if it exists. Use the algorithm for finding A
- 1
by row reducing [A I].
1
0 - 2
A =
2
1
- 3
3
- 4 - 3
Set up the matrix [A I].
1
- 2 10 0
[A I] =
1
- 3 0 1 0
3 - 4
- 3 0 0 1
(Type an integer or simplified fraction for each matrix element.)
Find the inverse. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A.
- 1
The inverse matrix is A
(Type an integer or simplified fraction for each matrix element.)
B. The matrix A does not have an inverse.
Transcribed Image Text:Find the inverse of the given matrix, if it exists. Use the algorithm for finding A - 1 by row reducing [A I]. 1 0 - 2 A = 2 1 - 3 3 - 4 - 3 Set up the matrix [A I]. 1 - 2 10 0 [A I] = 1 - 3 0 1 0 3 - 4 - 3 0 0 1 (Type an integer or simplified fraction for each matrix element.) Find the inverse. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. - 1 The inverse matrix is A (Type an integer or simplified fraction for each matrix element.) B. The matrix A does not have an inverse.
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