Find the characteristic equation and the eigenvalues (and a basıIs for each of the corresponding eigenspaces) of the matrix. 2 -2 7 3 -2 0 -1 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (Ag, A2, A3) =| a basis for each of the corresponding eigenspaces X1 = X2 = X3 =

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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Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix.
2 -2
3 -2
7
0 -1
(a) the characteristic equation
(b) the eigenvalues (Enter your answers from smallest to largest.)
(A,, A2, 13) =
a basis for each of the corresponding eigenspaces
X1 =
X2 =
= Ex
Transcribed Image Text:Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. 2 -2 3 -2 7 0 -1 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (A,, A2, 13) = a basis for each of the corresponding eigenspaces X1 = X2 = = Ex
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