Consider the matrix M " ܘܘ ܗ ܘ ܘ ܘ ܗ [2 3 0 4 6-2 For each vector given below, determine whether it's an eigenvector of M corresponding to a certain eigenvalue or it's not an eigenvector of Mat all. 8 A 2 2 0 0 1. An eigenvector of M corresponding to the eigenvalue = -1. 2. An eigenvector of M corresponding to the eigenvalue = 2. 3. An eigenvector of M corresponding to the eigenvalue = 4. 4. Not an eigenvector of M.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 36EQ: Consider again the matrix A in Exercise 35. Give conditions on a, b, c, and d such that A has two...
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Consider the matrix M
D
2
For each vector given below, determine whether it's an eigenvector of M
corresponding to a certain eigenvalue or it's not an eigenvector of M at all.
-3
6
4
-3
0
[2 0
3
A
-5
2
6
0
4 0
-2 -1]
1. An eigenvector of M corresponding
to the eigenvalue = -1.
2. An eigenvector of M corresponding
to the eigenvalue = 2.
3. An eigenvector of M corresponding
to the eigenvalue = 4.
4. Not an eigenvector of M.
Transcribed Image Text:Consider the matrix M D 2 For each vector given below, determine whether it's an eigenvector of M corresponding to a certain eigenvalue or it's not an eigenvector of M at all. -3 6 4 -3 0 [2 0 3 A -5 2 6 0 4 0 -2 -1] 1. An eigenvector of M corresponding to the eigenvalue = -1. 2. An eigenvector of M corresponding to the eigenvalue = 2. 3. An eigenvector of M corresponding to the eigenvalue = 4. 4. Not an eigenvector of M.
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