2 5 1-1 0 (a) Find the characteristic polynomial of A. Given the matrix A = -1 -3 3 (b) Find the eigenvalues of A. ܚ 2 -2. c) Is A diagonalizable? If so, find an invertible matrix P such that D = P¹¹AP

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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Problem #3
Given the matrix A =
25
-1
-3
-1 0
237
(b) Find the eigenvalues of A.
-2]
(a) Find the characteristic polynomial of A.
c) Is A diagonalizable? If so, find an invertible matrix P such that D = P¹AP is diagonal.
Transcribed Image Text:Problem #3 Given the matrix A = 25 -1 -3 -1 0 237 (b) Find the eigenvalues of A. -2] (a) Find the characteristic polynomial of A. c) Is A diagonalizable? If so, find an invertible matrix P such that D = P¹AP is diagonal.
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