Verify that i, is an eigenvalue of A and that x, is a corresponding eigenvector. в -1 8] A, - в, х, - (1, 0, о) A2 = 6, x2 = (1, 2, 0) A3 = 7, x3 = (-7, 1, 1) A = 6 1 0 7 8 -1 8 Ax, = 6 1 0 0 7 8 -1 8 6 1 Ax2 = 6 2 0 7 8 -1 8 Ax3= 6 1 0 7
Verify that i, is an eigenvalue of A and that x, is a corresponding eigenvector. в -1 8] A, - в, х, - (1, 0, о) A2 = 6, x2 = (1, 2, 0) A3 = 7, x3 = (-7, 1, 1) A = 6 1 0 7 8 -1 8 Ax, = 6 1 0 0 7 8 -1 8 6 1 Ax2 = 6 2 0 7 8 -1 8 Ax3= 6 1 0 7
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Verify that 2; is an eigenvalue of A and that x, is a corresponding eigenvector.
A1 = 8, x, = (1, 0, 0)
1 12 - 6, x, = (1, 2, 0)
0 7,
8 -1 8
A =
13 = 7, x, = (-7, 1, 1)
8 -1 8
6 1
1
1
Ах, 3
= 8 0 -1,x1
0 7
8 -1 8
6 1
1
1
Ax2 =
= 6 2 = 1,x2
2
0 7
8 -1 8
Ax3 =0
6 1
0 7
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3289914-d283-4f68-b0d7-f39cfa72e24f%2Fe6ac8fc1-792e-4df8-9df7-814915371572%2Fe0hrio_processed.png&w=3840&q=75)
Transcribed Image Text:Verify that 2; is an eigenvalue of A and that x, is a corresponding eigenvector.
A1 = 8, x, = (1, 0, 0)
1 12 - 6, x, = (1, 2, 0)
0 7,
8 -1 8
A =
13 = 7, x, = (-7, 1, 1)
8 -1 8
6 1
1
1
Ах, 3
= 8 0 -1,x1
0 7
8 -1 8
6 1
1
1
Ax2 =
= 6 2 = 1,x2
2
0 7
8 -1 8
Ax3 =0
6 1
0 7
1
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