Verify that i, is an eigenvalue of A and that x, is a corresponding eigenvector. 8 -1 8 1 = 8, x, = (1, o, 0) (1, 0, 0) A = 6 1 | 12 = 6, x2 = (1, 2, 0) s 6, 0 7] 13 = 7, x3 = (-7, 1, 1) 8 -1 8 1 1 Ax1 6 1 0 7 Ах, 3 = 8 0 8 -1 8 1 Ax2 = = 6 2 = 1x2 6 1 2 0 7 8 -1 8 Ax3 =0 0 7 1 =13x3 6 1 1 = 7 1 1
Verify that i, is an eigenvalue of A and that x, is a corresponding eigenvector. 8 -1 8 1 = 8, x, = (1, o, 0) (1, 0, 0) A = 6 1 | 12 = 6, x2 = (1, 2, 0) s 6, 0 7] 13 = 7, x3 = (-7, 1, 1) 8 -1 8 1 1 Ax1 6 1 0 7 Ах, 3 = 8 0 8 -1 8 1 Ax2 = = 6 2 = 1x2 6 1 2 0 7 8 -1 8 Ax3 =0 0 7 1 =13x3 6 1 1 = 7 1 1
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 i, is an eigenvalue of A and that x, is a corresponding eigenvector.
A = 8, x, = (1, 0, 0)
6 1 12 = 6, x2 = (1, 2, 0)
0 7] 13 = 7, x3 = (-7, 1, 1)
8 -1 8
A =
8 -1 8
Ах,
6 1
0 7
8 -1 8
6 1
2 = 1x2
Ax2 =
2
= 6
0 7
8 -1 8
-7
Ax3=0
1 =13x3
6 1
1
= 7
0 7
Need Help?
Read It
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Transcribed Image Text:Verify that i, is an eigenvalue of A and that x, is a corresponding eigenvector.
A = 8, x, = (1, 0, 0)
6 1 12 = 6, x2 = (1, 2, 0)
0 7] 13 = 7, x3 = (-7, 1, 1)
8 -1 8
A =
8 -1 8
Ах,
6 1
0 7
8 -1 8
6 1
2 = 1x2
Ax2 =
2
= 6
0 7
8 -1 8
-7
Ax3=0
1 =13x3
6 1
1
= 7
0 7
Need Help?
Read It
H O O
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