2. Consider the following matrix 10 0 140 A1 = 0 3 A2 = 1 1 1 , A3 = 1 0 -1 3 (a) Find the eigenvalues and eigenvectors of each matrix in (2). 1 10 010 1 2 3 (2) (b) Find the modal matrix M and diagonal each matrix (2) through similarity transforma- tion. Which matrix in (2) will lead to the Jordan form?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Question
2. Consider the following matrix
10
0
140
A1
=
0
3
A2 = 1 1 1
,
A3
=
1
0 -1 3
(a) Find the eigenvalues and eigenvectors of each matrix in (2).
1 10
010
1 2 3
(2)
(b) Find the modal matrix M and diagonal each matrix (2) through similarity transforma-
tion. Which matrix in (2) will lead to the Jordan form?
Transcribed Image Text:2. Consider the following matrix 10 0 140 A1 = 0 3 A2 = 1 1 1 , A3 = 1 0 -1 3 (a) Find the eigenvalues and eigenvectors of each matrix in (2). 1 10 010 1 2 3 (2) (b) Find the modal matrix M and diagonal each matrix (2) through similarity transforma- tion. Which matrix in (2) will lead to the Jordan form?
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