(a) Find the algebraic multiplicity of λ = -8 as an eigenvalue of A. (Enter the numerical value only.) (b) Find the dimension of the eigenspace corresponding to A = -8. (Enter the numerical value only.) A/ (c) Is A diagonalizable? (Enter "yes" or "no" only.) A

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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16) This is linear algebra ! write neatly, answer only. Show your work!
(a) Find the algebraic multiplicity of
numerical value only.)
=
-8 as an eigenvalue of A. (Enter the
(b) Find the dimension of the eigenspace corresponding to λ = -8. (Enter the
numerical value only.)
(c) Is A diagonalizable? (Enter "yes" or "no" only.)
Transcribed Image Text:(a) Find the algebraic multiplicity of numerical value only.) = -8 as an eigenvalue of A. (Enter the (b) Find the dimension of the eigenspace corresponding to λ = -8. (Enter the numerical value only.) (c) Is A diagonalizable? (Enter "yes" or "no" only.)
For the matrix A
=
T-8
0 0 0
00
0
-8
1
0
0
0
16
0
0 0 0 17
9
one of its eigenvalues is
λ = -8.
(a) Find the algebraic multiplicity of A = -8 as an eigenvalue of A. (Enter the
=
numerical value only.)
Transcribed Image Text:For the matrix A = T-8 0 0 0 00 0 -8 1 0 0 0 16 0 0 0 0 17 9 one of its eigenvalues is λ = -8. (a) Find the algebraic multiplicity of A = -8 as an eigenvalue of A. (Enter the = numerical value only.)
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