2 2 2 Consider the matrix A = 0 2 0 0 1 3 (a) Find the eigenvalues and bases for the corresponding eigenspaces of A. (b) What are the geometric and algebraic multiplicities of the eigenvalues you found in (a)? (c) Diagonalize A.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
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Consider the matrix A =
0
2 2
2 0
1
3
(a) Find the eigenvalues and bases for the corresponding eigenspaces of A.
(b) What are the geometric and algebraic multiplicities of the eigenvalues you found in (a)?
(c) Diagonalize A.
Transcribed Image Text:Consider the matrix A = 0 2 2 2 0 1 3 (a) Find the eigenvalues and bases for the corresponding eigenspaces of A. (b) What are the geometric and algebraic multiplicities of the eigenvalues you found in (a)? (c) Diagonalize A.
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