We wish to solve the system 21 [sin(t) 1 [-²/3 via eigenvector decomposition. x' = V2 = 15 Let 71 be an eigenvector for the smaller eigenvalue of the coefficient matrix and 2 be an eigenvector for the larger eigenvalue. Let us pick the eigenvectors such that 7₁ [2] V2 = -3 6 = x + [13]. What are these eigenvectors: and
We wish to solve the system 21 [sin(t) 1 [-²/3 via eigenvector decomposition. x' = V2 = 15 Let 71 be an eigenvector for the smaller eigenvalue of the coefficient matrix and 2 be an eigenvector for the larger eigenvalue. Let us pick the eigenvectors such that 7₁ [2] V2 = -3 6 = x + [13]. What are these eigenvectors: and
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
![We wish to solve the system
21
x +
[sin(t)
X
1
via eigenvector decomposition.
-
Let 7₁ be an eigenvector for the smaller eigenvalue of the coefficient matrix and 72 be an
[]
√2
eigenvector for the larger eigenvalue. Let us pick the eigenvectors such that 1
=
7₁
V2
=
=
"
=
[²].
What are these eigenvectors:
Then fill in the equation to write it in the eigenvector decomposed form.
01&₁ + √2§₂
v1&1 +
√2§2 + V1
=
and
+02](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30a42a85-c58f-45ac-a4af-faeed1a599e1%2Fffe12398-8086-4e47-9227-da28db6067bd%2Fiso8tvk_processed.png&w=3840&q=75)
Transcribed Image Text:We wish to solve the system
21
x +
[sin(t)
X
1
via eigenvector decomposition.
-
Let 7₁ be an eigenvector for the smaller eigenvalue of the coefficient matrix and 72 be an
[]
√2
eigenvector for the larger eigenvalue. Let us pick the eigenvectors such that 1
=
7₁
V2
=
=
"
=
[²].
What are these eigenvectors:
Then fill in the equation to write it in the eigenvector decomposed form.
01&₁ + √2§₂
v1&1 +
√2§2 + V1
=
and
+02
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