Let A = (a) (b) (c) A :) Show your work. -1 0 6 -12 2 1 0 0 ) Find all eigenvalues of A. A 3) For each of the eigenvalues, find a basis of the corresponding eigenspace. "s) Is A diagonalizable? If so write an invertible matrix Cand a diagonal matrix
Let A = (a) (b) (c) A :) Show your work. -1 0 6 -12 2 1 0 0 ) Find all eigenvalues of A. A 3) For each of the eigenvalues, find a basis of the corresponding eigenspace. "s) Is A diagonalizable? If so write an invertible matrix Cand a diagonal matrix
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.2: Diagonalization
Problem 32E
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![Let A =
(a),
(b)
I) Show your work.
06
-122
00
.) Find all eigenvalues of A.
A
3) For each of the eigenvalues, find a basis of the corresponding eigenspace.
(c) ₁-
*s) Is A diagonalizable? If so, write an invertible matrix C and a diagonal matrix
D so that ACDC1. If not, explain why.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb3ff2b4e-7361-4bfa-bd67-ba8a63794e9f%2F28f3ecec-4ccf-45ca-8cce-f8aa5f69b632%2Fhikxuq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let A =
(a),
(b)
I) Show your work.
06
-122
00
.) Find all eigenvalues of A.
A
3) For each of the eigenvalues, find a basis of the corresponding eigenspace.
(c) ₁-
*s) Is A diagonalizable? If so, write an invertible matrix C and a diagonal matrix
D so that ACDC1. If not, explain why.
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