Consider the following. -2 10 0 1 -3 [] 20 04 4-2 4 (a) Verify that A is diagonalizable by computing P-¹AP. A = P-¹AP = 000 12 2 (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. (2₁₁ 2₂₁23) =
Consider the following. -2 10 0 1 -3 [] 20 04 4-2 4 (a) Verify that A is diagonalizable by computing P-¹AP. A = P-¹AP = 000 12 2 (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. (2₁₁ 2₂₁23) =
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 15CR: For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of...
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