Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 9 -1 2 7 1, 12 = 7, x, = (1, 2, 0) Lo 11 = 9, x1 = (1, 0, 0) %3D %3D 08. 23 = 8, x3 = (-1, 1, 1) 9 -1 2 7 1 0 8 Ax1 9 9 -1 2 7 1 0 8 Ax2 = 7 2 = 12X2 2 9 -1 2 0 7 1 0 8 Ax3= 1 = 13x3 8
Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 9 -1 2 7 1, 12 = 7, x, = (1, 2, 0) Lo 11 = 9, x1 = (1, 0, 0) %3D %3D 08. 23 = 8, x3 = (-1, 1, 1) 9 -1 2 7 1 0 8 Ax1 9 9 -1 2 7 1 0 8 Ax2 = 7 2 = 12X2 2 9 -1 2 0 7 1 0 8 Ax3= 1 = 13x3 8
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Verify that 2; is an eigenvalue of A and that x; is a corresponding eigenvector.
9 -1 2
7 1
0 8
11 = 9, x, = (1, 0, 0)
12 = 7, x2 = (1, 2, 0)
13 = 8, x, = (-1, 1, 1)
A =
-
%3D
%3D
9 -1 2
7 1
0 8
Ax1
= 9| 0 = 1,x1
9 -1 2
7 1
0 8
1.
1
Ax, =
= 7 2
= 12x2
2
9 -1 2
7 1
0 8
Ax3
= 8
1 = 13x3
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2fd8b91c-3d8e-466a-97d9-ef71383a55b9%2F38479737-b7f2-4b3d-a89b-8be2a5aced3c%2Fc9lpx_processed.png&w=3840&q=75)
Transcribed Image Text:Verify that 2; is an eigenvalue of A and that x; is a corresponding eigenvector.
9 -1 2
7 1
0 8
11 = 9, x, = (1, 0, 0)
12 = 7, x2 = (1, 2, 0)
13 = 8, x, = (-1, 1, 1)
A =
-
%3D
%3D
9 -1 2
7 1
0 8
Ax1
= 9| 0 = 1,x1
9 -1 2
7 1
0 8
1.
1
Ax, =
= 7 2
= 12x2
2
9 -1 2
7 1
0 8
Ax3
= 8
1 = 13x3
1
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