6.) Find a.) the characteristic equation and b.) the eigenvalues(and corresponding eigenvectors) of the matrix below. 1 13 - 2 – 10 8 7.) For matrix A, find (if possible) a nonsingular matrix P such that P-'AP is diagonal. Verify that P-ªAP is a diagona matrix with the eigenvalues on the main diagonal. - 31 A = - 3 -4 9. -2 5

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 80E
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Linear Algebra, please note all the parts for understanding

6.) Find a.) the characteristic equation and b.) the eigenvalues(and corresponding eigenvectors) of the matrix below.
3
1
- 2
13
2
– 10
3
2
9
2
8.
7.) For matrix A, find (if possible) a nonsingular matrix P such that P-AP is diagonal. Verify that P-'AP is a diagonal
matrix with the eigenvalues on the main diagonal.
- 3
A
- 3
-4
9.
- 1
- 2
5
|
Transcribed Image Text:6.) Find a.) the characteristic equation and b.) the eigenvalues(and corresponding eigenvectors) of the matrix below. 3 1 - 2 13 2 – 10 3 2 9 2 8. 7.) For matrix A, find (if possible) a nonsingular matrix P such that P-AP is diagonal. Verify that P-'AP is a diagonal matrix with the eigenvalues on the main diagonal. - 3 A - 3 -4 9. - 1 - 2 5 |
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