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

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 26EQ
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For the matrix A, find (if possible) a nonsingular matrix P such that P-AP is diagonal. (If not possible, enter IMPOSSIBLE.)
2 -2 5
A =
3 -2
0 -1
2
P =
Verify that P-1AP is a diagonal matrix with the eigenvalues on the main diagonal.
P-AP =
Transcribed Image Text:For the matrix A, find (if possible) a nonsingular matrix P such that P-AP is diagonal. (If not possible, enter IMPOSSIBLE.) 2 -2 5 A = 3 -2 0 -1 2 P = Verify that P-1AP is a diagonal matrix with the eigenvalues on the main diagonal. P-AP =
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