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

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 PAP is diagonal. (If not possible, enter IMPOSSIBLE.)
[2 -2
0 3 -2
Lo -1
A =
2
P =
Verify that PAP is a diagonal matrix with the eigenvalues on the main diagonal.
P-AP =
00
Transcribed Image Text:For the matrix A, find (if possible) a nonsingular matrix P such that PAP is diagonal. (If not possible, enter IMPOSSIBLE.) [2 -2 0 3 -2 Lo -1 A = 2 P = Verify that PAP is a diagonal matrix with the eigenvalues on the main diagonal. P-AP = 00
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