For the matrix A, find (if possible) a nonsingular matrix P such that P AP is diagonal. (If not possible, enter IMPOSSIBLE.) -4 0 A = 15-2 5 0 5. P = Verify that PAP is a diagonal matrix with the eigenvalues on the main diagonal. p-AP = Need Help? Read It

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.)
-4 0
A =
1 5-2
50
5.
P =
Verify that PAP is a diagonal matrix with the eigenvalues on the main diagonal.
p-AP =
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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.) -4 0 A = 1 5-2 50 5. P = Verify that PAP is a diagonal matrix with the eigenvalues on the main diagonal. p-AP = Need Help? Read It Submit Assignment Save Assignment Progress
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