Question
Asked Oct 8, 2019
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Find the eigenvalues and eigenvectors of the following matrices and check your answer by
computer
2
a)
-2
3
b)
2
6
21
0 2
2
10
c)
0
2
0-1
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Find the eigenvalues and eigenvectors of the following matrices and check your answer by computer 2 a) -2 3 b) 2 6 21 0 2 2 10 c) 0 2 0-1

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Expert Answer

Step 1

2 A
2
= 0
2
-h-1
(2-A)(--1)4 0
= 3.-2
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2 A 2 = 0 2 -h-1 (2-A)(--1)4 0 = 3.-2

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Step 2

Г2 —3
2
ForA 3
2
-3-1x
-1
2
0
х
-4 Lo
2
Г1 -2|| х,
0 0
x2
then x 2r
2
v=
t
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Г2 —3 2 ForA 3 2 -3-1x -1 2 0 х -4 Lo 2 Г1 -2|| х, 0 0 x2 then x 2r 2 v= t

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Step 3

Similarly, Obtain the Eigen vectors ...

2X1
2-1x
2 2
For A -2
2
0
4 2 X
2 1
1
2
0 0
then
2
1
2 t
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2X1 2-1x 2 2 For A -2 2 0 4 2 X 2 1 1 2 0 0 then 2 1 2 t

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