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Consider the following. 0 1 -3 1 0 3 0 -1 A = 0 4 4 -2 5 1 2 2 (a) Verify that A is diagonalizable by computing P-1AP. -1 -1 -5 p-1AP = -2 -4 (b) Use the result of part (a) and the theorem below to find the eigenvalues of A. Similar Matrices Have the Same Eigenvalues If A and B are similar n x n matrices, then they have the same eigenvalues. (^q, 12, 13) = -1, – 5, – 4

Consider the following. 0 1 -3 1 0 3 0 -1 A = 0 4 4 -2 5 1 2 2 (a) Verify that A is diagonalizable by computing P-1AP. -1 -1 -5 p-1AP = -2 -4 (b) Use the result of part (a) and the theorem below to find the eigenvalues of A. Similar Matrices Have the Same Eigenvalues If A and B are similar n x n matrices, then they have the same eigenvalues. (^q, 12, 13) = -1, – 5, – 4

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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Consider the following. 0 1 -3 1 0 3 0 -1 A = 0 4 4 -2 5 1 2 2 (a) Verify that A is diagonalizable by computing P-1AP. -1 -1 -5 p-1AP = -2 -4 (b) Use the result of part (a) and the theorem below to find the eigenvalues of A. Similar Matrices Have the Same Eigenvalues If A and B are similar n x n matrices, then they have the same eigenvalues. (Aq, 2z, 23) = (| -1, – 5, – 4 ( * - Need Help? Read It
Transcribed Image Text:Consider the following. 0 1 -3 1 0 3 0 -1 A = 0 4 4 -2 5 1 2 2 (a) Verify that A is diagonalizable by computing P-1AP. -1 -1 -5 p-1AP = -2 -4 (b) Use the result of part (a) and the theorem below to find the eigenvalues of A. Similar Matrices Have the Same Eigenvalues If A and B are similar n x n matrices, then they have the same eigenvalues. (Aq, 2z, 23) = (| -1, – 5, – 4 ( * - Need Help? Read It
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