Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (2,, 12) = a basis for each of the corresponding eigenspaces X2 1/2 3/2

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
-1
(a) the characteristic equation
(b) the eigenvalues (Enter your answers from smallest to largest.)
(1, 12) =
a basis for each of the corresponding eigenspaces
X, =
Xっ =
1/2
Transcribed Image Text:Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. 1 -1 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (1, 12) = a basis for each of the corresponding eigenspaces X, = Xっ = 1/2
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