10 0 Consider the matrix A - = 0-21 0 1 -2 ⚫ Find the characteristic polynomial of A and the eigenvalues of A. Find a linearly independent set of eigenvectors spanning each eigenspace. ⚫ Is A diagonalizable? If so, what should the diagonal matrix be (up to reindexing the rows)?

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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10 0
Consider the matrix A - =
0-21
0 1 -2
⚫ Find the characteristic polynomial of A and the eigenvalues of
A.
Find a linearly independent set of eigenvectors spanning each
eigenspace.
⚫ Is A diagonalizable? If so, what should the diagonal matrix be
(up to reindexing the rows)?
Transcribed Image Text:10 0 Consider the matrix A - = 0-21 0 1 -2 ⚫ Find the characteristic polynomial of A and the eigenvalues of A. Find a linearly independent set of eigenvectors spanning each eigenspace. ⚫ Is A diagonalizable? If so, what should the diagonal matrix be (up to reindexing the rows)?
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