Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the ma 0-3 3 -4 0 ΟΔώ 4-6 4

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
Problem 26EQ
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Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the ma
0-3 3
-4
4-6
0 04
(a) the characteristic equation
(2-6) (2-4) (2+2) = 0
(b) the eigenvalues (Enter your answers from smallest to largest.)
(21, 22, 23) =
-2,4,6
a basis for each of the corresponding eigenspaces
(7,1,1)
x2 = (1,0,0)
X₁ =
X3 =
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Transcribed Image Text:Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the ma 0-3 3 -4 4-6 0 04 (a) the characteristic equation (2-6) (2-4) (2+2) = 0 (b) the eigenvalues (Enter your answers from smallest to largest.) (21, 22, 23) = -2,4,6 a basis for each of the corresponding eigenspaces (7,1,1) x2 = (1,0,0) X₁ = X3 = Need Help? 12-1.1 Type here to search Read It X O E C C 91 i O
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