For the matrix A, find (if possible) a nonsingular matrix P such that PAP is diagonal. (If not possible, enter IMPOSSIBLE.) 2-2 9 0 3-2 A = 0 -1 2 -888- P = Verify that P¹AP is a diagonal matrix with the eigenvalues on the main diagonal. ~1889: P¹AP = 18

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Chapter2: Second-order Linear Odes
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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
0 3-2
A =
0 -1 2
-888-
P =
Verify that P¹AP is a diagonal matrix with the eigenvalues on the main diagonal.
~1889:
P¹AP =
18
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 0 3-2 A = 0 -1 2 -888- P = Verify that P¹AP is a diagonal matrix with the eigenvalues on the main diagonal. ~1889: P¹AP = 18
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