For the matrix A, find (if possible) a nonsingular matrix P such that PAP is diagonal. (If not possible, enter IMPOSSIBLE.) 2-2 9 3-2 0-1 2 P= A = Verify that p¹AP is a diagonal matrix with the eigenvalues on the main diagonal. p-1AP = 11 Need Help? Read it 11 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 30RE
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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 9
3-2
0-1 2
P=
A =
11
Verify that p¹AP is a diagonal matrix with the eigenvalues on the main diagonal.
p-1AP =
Need Help? Read It
4
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 9 3-2 0-1 2 P= A = 11 Verify that p¹AP is a diagonal matrix with the eigenvalues on the main diagonal. p-1AP = Need Help? Read It 4
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