Consider the matrix A where A = 0 Find the eigenvalues and corresponding eigenvectors of the matrix A. Construct the matrix P whose columns are the two eigenvectors of A. Hence find (or simply write down) the matrix D = P-¹AP.

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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2. Consider the matrix A where
A =
-9
0
Find the eigenvalues and corresponding eigenvectors of the matrix A. Construct the
matrix P whose columns are the two eigenvectors of A. Hence find (or simply write
down) the matrix D = P-¹AP.
Transcribed Image Text:2. Consider the matrix A where A = -9 0 Find the eigenvalues and corresponding eigenvectors of the matrix A. Construct the matrix P whose columns are the two eigenvectors of A. Hence find (or simply write down) the matrix D = P-¹AP.
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