1 and v, = 1 1 We have found the following about the matrix A with eigenvectors 1, =, a, = 2, and respective eigenvectors v, = A°x = 4A°v, + 3A°v2 1 512 A°v, 1 512 512 A°v2 512 Find A°x. 49153 64 A°x = 49151 64

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
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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1
and v2
1
We have found the following about the matrix A with eigenvectors 1, =, 1, = 2, and respective eigenvectors v,
%D
=
A°x = 4A°v, + 3A°v,
%3D
1
512
A°v, =
1
512
512
A°v2
512
Find Ax.
49153
64
A°x =
49151
64
Transcribed Image Text:1 and v2 1 We have found the following about the matrix A with eigenvectors 1, =, 1, = 2, and respective eigenvectors v, %D = A°x = 4A°v, + 3A°v, %3D 1 512 A°v, = 1 512 512 A°v2 512 Find Ax. 49153 64 A°x = 49151 64
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