For the matrix A, find (if possible) a nonsingular matrix P such that P-1AP is diagonal. (If not possible, enter IMPOSSIBLE.) 8 -4 A = -2 P = Verify that P-AP is a diagonal matrix with the eigenvalues on the main diagonal. P-1AP =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
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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.)
8 -4
A =
-2
P =
Verify that P-AP is a diagonal matrix with the eigenvalues on the main diagonal.
P-lAP =
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.) 8 -4 A = -2 P = Verify that P-AP is a diagonal matrix with the eigenvalues on the main diagonal. P-lAP =
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