Let 1 -1 D= |0 3 -1 0 0 2 a. Find the eigenvector(s) associated with the eigenvalue X 2 %3D b. Is the vector 2 an eigenvector of D? Why or why not? 3 c. Based on your work so far do you know if D is diagonalizable? Why or why not.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 75E
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Let
2.
1
-1
D=
0 3
-1
0 0
2
a. Find the eigenvector(s) associated with the eigenvalue X = 2
1
b. Is the vector
an eigenvector of D? Why or why not?
3
c. Based on your work so far do you know if D is diagonalizable? Why or why not.
Transcribed Image Text:Let 2. 1 -1 D= 0 3 -1 0 0 2 a. Find the eigenvector(s) associated with the eigenvalue X = 2 1 b. Is the vector an eigenvector of D? Why or why not? 3 c. Based on your work so far do you know if D is diagonalizable? Why or why not.
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