-x + y 5. Let T: R2 R2 be defined by T = ( []) = [ 2² ] and matrix A = [T]B where B is the standard basis for R2 i) Find the eigenvalues of A ii) Find the corresponding eigenvectors VB =

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 77E
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5. Let T: R2 → R2 be defined by T
=
and matrix A
-x y
( []) = [- ² + 1]
-
[TB where B is the standard basis for R2
=
i) Find the eigenvalues of A
ii) Find the corresponding eigenvectors
F
[2
2
[²
√3 = [21] =
V. B
Transcribed Image Text:5. Let T: R2 → R2 be defined by T = and matrix A -x y ( []) = [- ² + 1] - [TB where B is the standard basis for R2 = i) Find the eigenvalues of A ii) Find the corresponding eigenvectors F [2 2 [² √3 = [21] = V. B
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