Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. 6-2 -3 (a) the characteristic equation

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 65E
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Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix.
[-3 -2]
(a) the characteristic equation
X
(b) the eigenvalues (Enter your answers from smallest to largest.)
(21, ^₂) =
X1 =
Your answer cannot be understood or graded. More Information
x2 =
a basis for each of the corresponding eigenspaces
X
Transcribed Image Text:Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. [-3 -2] (a) the characteristic equation X (b) the eigenvalues (Enter your answers from smallest to largest.) (21, ^₂) = X1 = Your answer cannot be understood or graded. More Information x2 = a basis for each of the corresponding eigenspaces X
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