Verify that A; is an eigenvalue of A and that x, is a corresponding eigenvector. 21=5, x1 = (1, 2, -1) 22 -3, x2 (-2, 1 0) 13=-3, x3 = (3, 0, 1) -2 2-3 A = 2. 1-6 %D %3D -1-2 0
Verify that A; is an eigenvalue of A and that x, is a corresponding eigenvector. 21=5, x1 = (1, 2, -1) 22 -3, x2 (-2, 1 0) 13=-3, x3 = (3, 0, 1) -2 2-3 A = 2. 1-6 %D %3D -1-2 0
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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Question 5
![Verify that A; is an eigenvalue of A and that x, is a corresponding eigenvector.
d1=5, x1 (1, 2, -1)
12=-3, x2 (-2, 1 0)
d3=-3, x3 (3, 0, 1)
-2
2 -3
A =
2.
1-6
-1 -2 0]
Ax1 =
2.
5.
= 1,x1
-2
2 -3
Ax2 =
2
1 -6
12x2
-1 -2
-2
2 -3
Ax3 =
2 1-6
-30
= A3x3
-1 -2 0][ 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb232de12-e226-412f-8bc7-a8e23af58612%2F8638a895-306b-4fca-ab42-f94603d78a97%2Fc1xbv0f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Verify that A; is an eigenvalue of A and that x, is a corresponding eigenvector.
d1=5, x1 (1, 2, -1)
12=-3, x2 (-2, 1 0)
d3=-3, x3 (3, 0, 1)
-2
2 -3
A =
2.
1-6
-1 -2 0]
Ax1 =
2.
5.
= 1,x1
-2
2 -3
Ax2 =
2
1 -6
12x2
-1 -2
-2
2 -3
Ax3 =
2 1-6
-30
= A3x3
-1 -2 0][ 1
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