Given 2 2 -2 A =|0 0 0 0 2 a. Find eigenvalues and eigenvectors of A. Is it invertible? b. For each eigenvalue A indicate its algebraic and geometrical multiplicity, and state its eigenspace Eig(A, A) c. Diagonalize A if possible d. Find A5

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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Given
2 2
0 0
0 0
-2
A =
2
a. Find eigenvalues and eigenvectors of A. Is it invertible?
b. For each eigenvalue A indicate its algebraic and geometrical multiplicity, and state its eigenspace Eig(A, X)
c. Diagonalize A if possible
d. Find A5
Transcribed Image Text:Given 2 2 0 0 0 0 -2 A = 2 a. Find eigenvalues and eigenvectors of A. Is it invertible? b. For each eigenvalue A indicate its algebraic and geometrical multiplicity, and state its eigenspace Eig(A, X) c. Diagonalize A if possible d. Find A5
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