Find all eigenvalues, and a set of n independent eigenvectors and generalized eigenvectors for each nxn matrix. Use these to find the Jordan canonical form of the matrix. [110] (a) A=0 12 (b) A=1 003 201 1 2 0-1 1 Find all eigenvalues and their corresponding eigenvectors for each matrix. (a) A= [53] 3 5 0 1 1 (b) A=101 110 (c) A= 3 4 -

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.CR: Chapter 10 Review
Problem 61CR
Question
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Find all eigenvalues, and a set of n independent eigenvectors and generalized
eigenvectors for each nxn matrix. Use these to find the Jordan canonical form of
the matrix.
[110]
(a) A=0 12
(b) A=1
003
201
1 2
0-1 1
Transcribed Image Text:Find all eigenvalues, and a set of n independent eigenvectors and generalized eigenvectors for each nxn matrix. Use these to find the Jordan canonical form of the matrix. [110] (a) A=0 12 (b) A=1 003 201 1 2 0-1 1
Find all eigenvalues and their corresponding eigenvectors for each matrix.
(a) A=
[53]
3 5
0 1 1
(b) A=101
110
(c) A=
3
4
-
Transcribed Image Text:Find all eigenvalues and their corresponding eigenvectors for each matrix. (a) A= [53] 3 5 0 1 1 (b) A=101 110 (c) A= 3 4 -
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