For the matrix A, find (if possible) a nonsingular matrix P such that P-1AP is diagonal. (If not possible, enter IMPOSSIBLE.) 2-2 5 0 3 -2 0 -1 2 A = -893- 1 Verify that P¹AP is a diagonal matrix with the eigenvalues on the main diagonal. p-¹AP = 000 000 1

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 55E
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For the matrix A, find (if possible) a nonsingular matrix P such that P-¹AP is diagonal. (If not possible, enter IMPOSSIBLE.)
2-2
5
0
3 -2
0
2
P =
-1
EE
p-¹AP =
T
Q
>
Verify that P-¹AP is a diagonal matrix with the eigenvalues on the main diagonal.
1888:
Transcribed Image Text:For the matrix A, find (if possible) a nonsingular matrix P such that P-¹AP is diagonal. (If not possible, enter IMPOSSIBLE.) 2-2 5 0 3 -2 0 2 P = -1 EE p-¹AP = T Q > Verify that P-¹AP is a diagonal matrix with the eigenvalues on the main diagonal. 1888:
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