Consider the following matrix: A = [-8 7 -3] [4 -5 -3] [4 -7 -1] 1. If matrix A has an eigenvector: [-1] [1] [1] calculate the corresponding eigenvalue. 2. Given that one of the eigenvalues of matrix A is -4, calculate a corresponding eigenvector.
Consider the following matrix: A = [-8 7 -3] [4 -5 -3] [4 -7 -1] 1. If matrix A has an eigenvector: [-1] [1] [1] calculate the corresponding eigenvalue. 2. Given that one of the eigenvalues of matrix A is -4, calculate a corresponding eigenvector.
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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Question
Consider the following matrix:
A = [-8 7 -3]
[4 -5 -3]
[4 -7 -1]
1. If matrix A has an eigenvector:
[-1]
[1]
[1]
calculate the corresponding eigenvalue.
2. Given that one of the eigenvalues of matrix A is -4, calculate a corresponding eigenvector.
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