Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. 1 H2 -1 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (21, 2₂) = x2 = a basis for each of the corresponding eigenspaces X1 =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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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.
3
1
2
A
-1
(a) the characteristic equation
(b) the eigenvalues (Enter your answers from smallest to largest.)
1)
(2₁, 2₂) = 1
-C
a basis for each of the corresponding eigenspaces
X₁ =
x2 =
Transcribed Image Text:Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. 3 1 2 A -1 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) 1) (2₁, 2₂) = 1 -C a basis for each of the corresponding eigenspaces X₁ = x2 =
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