1. (a) Circle the vector(s) below which are eigenvectors of the matrix A: 1 3 6 2 1 4 1 0 3 A = -2 V1 = -2 V2 = 3 V3 = 1 3/7 1 -2 -5 (b) For each vector that you identified as an eigenvector, determine the corresponding eigenvalue. (c) For a 11xll matrix, what is the maximum number of distinct real eigenvalues possible? (d) For a 11x11 matrix, what is the maximum number of distinct complex eigenvalues possible?
1. (a) Circle the vector(s) below which are eigenvectors of the matrix A: 1 3 6 2 1 4 1 0 3 A = -2 V1 = -2 V2 = 3 V3 = 1 3/7 1 -2 -5 (b) For each vector that you identified as an eigenvector, determine the corresponding eigenvalue. (c) For a 11xll matrix, what is the maximum number of distinct real eigenvalues possible? (d) For a 11x11 matrix, what is the maximum number of distinct complex eigenvalues possible?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:1. (a) Circle the vector(s) below which are eigenvectors of the matrix A:
1 3 6
2 1 4
1 0 3
A =
1
Vị =
V2 =
3
V3 =
1
3/7
-2
(b) For each vector that you identified as an eigenvector, determine the corresponding
eigenvalue.
(c) For a 11xl1 matrix, what is the maximum number of distinct real eigenvalues
possible?
(d) For a 11x11 matrix, what is the maximum number of distinct complex eigenvalues
possible?
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