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)?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 26EQ
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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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