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
icon
Related questions
Question
Plz Needed to be solve 1n 10 mints
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.
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.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning