Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. 1 - X2 N/W (a) the characteristic equation -1 (b) the eigenvalues (Enter your answers from smallest to largest.) (2₂₁ 2₂) = 11 a basis for each of the corresponding eigenspaces X₁ =

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 15CR: For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of...
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Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix.
1
x₂
-
(a) the characteristic equation
N
N/W
(b) the eigenvalues (Enter your answers from smallest to largest.)
(2₂, 2₂) =
-1
a basis for each of the corresponding eigenspaces
X₁ =
11
Transcribed Image Text:Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. 1 x₂ - (a) the characteristic equation N N/W (b) the eigenvalues (Enter your answers from smallest to largest.) (2₂, 2₂) = -1 a basis for each of the corresponding eigenspaces X₁ = 11
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