Verify that λ; is an eigenvalue of A and that x; is a corresponding eigenvector. -4-2 2₁-11, x₁ = (1, 2, -1) = A = -2 -7 A₂ = -3, x₂ = (-2, 10) A3 = -3, x3 = (3, 0, 1) 1 2-6 -4-2 3 AX1 -FPBD- -2-7 6 2 = = -11 2 21x1 1 2-6 -4-2 3 -3 -#-+- AX2 -2 -7 = = 2₂x₂ 6 1 2-6 3 -4 -2 -2 -7 6 El Ax3 = = 36 1 = = 13x3
Verify that λ; is an eigenvalue of A and that x; is a corresponding eigenvector. -4-2 2₁-11, x₁ = (1, 2, -1) = A = -2 -7 A₂ = -3, x₂ = (-2, 10) A3 = -3, x3 = (3, 0, 1) 1 2-6 -4-2 3 AX1 -FPBD- -2-7 6 2 = = -11 2 21x1 1 2-6 -4-2 3 -3 -#-+- AX2 -2 -7 = = 2₂x₂ 6 1 2-6 3 -4 -2 -2 -7 6 El Ax3 = = 36 1 = = 13x3
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 λ; is an eigenvalue of A and that x; is a corresponding eigenvector.
-4 -2
3
2₁-11, x₁ = (1, 2, -1)
=
A =
-2 -7
6
2₂ = -3, x₂ = (-2, 10)
23 = -3, x3 = (3, 0, 1)
1 2 -6
-4-2
3
AX1 =
-2 -7 6
2
=
= 21x1
1 2 -6
-1
-2
AX2
-4 -2 3
-2 -7 6
2 -6
1
=
1
-4-2 3 3
-RDE
Ax3 = -2 -7 6
0 =
1 2-6
1
I
↓ ↑
11
=
11
-=[
-1
-2
0
3
-3
-[1] -
=
= λ3x3
-3
H
=
22x2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe6c14a10-bbae-4580-b2f6-f9fa9d28870b%2F07fb03ee-8b04-4d2e-b9a2-75abf636b7a3%2Fese6yy9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Verify that λ; is an eigenvalue of A and that x; is a corresponding eigenvector.
-4 -2
3
2₁-11, x₁ = (1, 2, -1)
=
A =
-2 -7
6
2₂ = -3, x₂ = (-2, 10)
23 = -3, x3 = (3, 0, 1)
1 2 -6
-4-2
3
AX1 =
-2 -7 6
2
=
= 21x1
1 2 -6
-1
-2
AX2
-4 -2 3
-2 -7 6
2 -6
1
=
1
-4-2 3 3
-RDE
Ax3 = -2 -7 6
0 =
1 2-6
1
I
↓ ↑
11
=
11
-=[
-1
-2
0
3
-3
-[1] -
=
= λ3x3
-3
H
=
22x2
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