Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. 0-3 9 -4 4 -18 0 0 4 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (21, 22, 23) = a basis for each of the corresponding eigenspaces X1 = x2 = x3 = I

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 matrix.
0 -3
-4
0
(a) the characteristic equation
(b) the eigenvalues (Enter your answers from smallest to largest.)
(21, 22, 23) =
9
4 -18
0
4
a basis for each of the corresponding eigenspaces
X1 =
x2 =
x3 =
I
Transcribed Image Text:Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. 0 -3 -4 0 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (21, 22, 23) = 9 4 -18 0 4 a basis for each of the corresponding eigenspaces X1 = x2 = x3 = I
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