Consider the matrices 1 -2 7 and B = -1 A = 2 -4 8 4 -2 2 -1 2 1 a. Which of the following vectors are eigenvectors of A? Find the corresponding eigenvalues. 2 0 V1 = -0. V2 = 1,03 = 2 , V4= B b. In matrix B, find the eigenvector/s corresponding to eigenvalues X = 3

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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Consider the matrices
-2
7
8
A =
-3
-2 and B = -1
4
1 2 1
2
a. Which of the following vectors are eigenvectors of A? Find the corresponding eigenvalues.
2
0
V1 =
, V2 =
V3 = 2
, V4=
1
0
b. In matrix B, find the eigenvector/s corresponding to eigenvalues X = 3
1
2
Transcribed Image Text:Consider the matrices -2 7 8 A = -3 -2 and B = -1 4 1 2 1 2 a. Which of the following vectors are eigenvectors of A? Find the corresponding eigenvalues. 2 0 V1 = , V2 = V3 = 2 , V4= 1 0 b. In matrix B, find the eigenvector/s corresponding to eigenvalues X = 3 1 2
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