(2 points) The matrix A = -7 2 Find an eigenvector for this eigenvalue. v= 1-1 1 The matrix B= -2 5 -1 -2 Note: You should solve the following problem WITHOUT computing all eigenvalues. -4 3 87 X = 7 has an eigenvalue λ = -2. 1 -1 -5 Find the eigenvalue for this eigenvector. 1 10 has an eigenvector =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices
Problem 31EQ
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Question
1
-7
2
Find an eigenvector for this eigenvalue.
(2 points) The matrix A
V=
-1
5
-1 -2
The matrix B= -2 1
1
7 has an eigenvalue X
Note: You should solve the following problem WITHOUT computing all eigenvalues.
-4 3 87
H
10 has an eigenvector
1 -1 -5.
Find the eigenvalue for this eigenvector.
=
-2.
Transcribed Image Text:1 -7 2 Find an eigenvector for this eigenvalue. (2 points) The matrix A V= -1 5 -1 -2 The matrix B= -2 1 1 7 has an eigenvalue X Note: You should solve the following problem WITHOUT computing all eigenvalues. -4 3 87 H 10 has an eigenvector 1 -1 -5. Find the eigenvalue for this eigenvector. = -2.
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