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

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Answered: 1 A = -1 P = Verify that P-1AP is a…

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1 A = -1 P = Verify that P-1AP is a diagonal matrix with the eigenvalues on the main diagonal. p-1AP =

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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Question

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

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