-6 1 3 0 1 1 002 (a) the characteristic equation of A A = (b) the eigenvalues of A (Enter your answers from smallest to largest.) (21, 22, 23) = (c) a basis for the eigenspace corresponding to each eigenvalue basis for the eigenspace of A₁ = basis for the eigenspace of 1₂ = basis for the eigenspace of 13

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices
Problem 41EQ
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Find the characteristic equation of A, the eigenvalues of A, and a basis for the eigenspace corresponding to each eigenvalue.
-6 1 3
0 1 1
002
A =
(a) the characteristic equation of A
(b) the eigenvalues of A (Enter your answers from smallest to largest.)
(21, 22, 23) = 1
(c) a basis for the eigenspace corresponding to each eigenvalue
basis for the eigenspace of A₁ =
basis for the eigenspace of A2
basis for the eigenspace of A3 =
Transcribed Image Text:Find the characteristic equation of A, the eigenvalues of A, and a basis for the eigenspace corresponding to each eigenvalue. -6 1 3 0 1 1 002 A = (a) the characteristic equation of A (b) the eigenvalues of A (Enter your answers from smallest to largest.) (21, 22, 23) = 1 (c) a basis for the eigenspace corresponding to each eigenvalue basis for the eigenspace of A₁ = basis for the eigenspace of A2 basis for the eigenspace of A3 =
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