For the matrix A, find (if possible) a nonsingular matrix P such that P'AP is diagonal. (If not possible, enter IMPOSSIBLE.) 12 -3 A = -4 P = Verify that P-AP is a diagonal matrix with the eigenvalues on the main diagonal. p-lAP =

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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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 P-!AP is diagonal. (If not possible, enter IMPOSSIBLE.)
12 -3
A =
-4
1
P =
Verify that P-'AP is a diagonal matrix with the eigenvalues on the main diagonal.
p-1AP =
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.) 12 -3 A = -4 1 P = Verify that P-'AP is a diagonal matrix with the eigenvalues on the main diagonal. p-1AP =
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