Consider the following. 5-2 0 -3 -6 2-4 (a) Verify that A is diagonalizable by computing P-¹AP. A = P-¹AP = 0 :)--[ 000 0 1 -3 04 0 12 2 ↓ 1 (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 × n matrices, then they have the same eigenvalues. (2₁, 22, 23) =
Consider the following. 5-2 0 -3 -6 2-4 (a) Verify that A is diagonalizable by computing P-¹AP. A = P-¹AP = 0 :)--[ 000 0 1 -3 04 0 12 2 ↓ 1 (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 × n matrices, then they have the same eigenvalues. (2₁, 22, 23) =
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 36EQ: Consider again the matrix A in Exercise 35. Give conditions on a, b, c, and d such that A has two...
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