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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.

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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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