Find the characteristic equation and the eigenvalues (and a basis for each of -1 N/W 2 1 (a) the characteristic equation

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.
-1
3
2
(a) the characteristic equation
1
(b) the eigenvalues (Enter your answers from smallest to largest.)
(2₁, 2₂) =
X1 =
a basis for each of the corresponding eigenspaces
x2 =
Transcribed Image Text:Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. -1 3 2 (a) the characteristic equation 1 (b) the eigenvalues (Enter your answers from smallest to largest.) (2₁, 2₂) = X1 = a basis for each of the corresponding eigenspaces x2 =
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