We wish to solve the system [1 x+ [sin(t)]. 6 via eigenvector decomposition. 1 Let 7₁ be an eigenvector for the smaller eigenvalue of the coefficient matrix and 72 be an eigenvector for the larger eigenvalue. [] What are these eigenvectors: 15 6 Let us pick the eigenvectors such that 7₁ = = 8 v2 = H = and 72 = Then fill in the equation to write it in the eigenvector decomposed form. υιξή + v2ξ ύιξι + V2E2 + V1 +02
We wish to solve the system [1 x+ [sin(t)]. 6 via eigenvector decomposition. 1 Let 7₁ be an eigenvector for the smaller eigenvalue of the coefficient matrix and 72 be an eigenvector for the larger eigenvalue. [] What are these eigenvectors: 15 6 Let us pick the eigenvectors such that 7₁ = = 8 v2 = H = and 72 = Then fill in the equation to write it in the eigenvector decomposed form. υιξή + v2ξ ύιξι + V2E2 + V1 +02
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
[13] + [sin(0)].
via eigenvector decomposition.
X =
Let ₁ be an eigenvector for the smaller eigenvalue of the coefficient matrix and 72 be an eigenvector for the larger eigenvalue.
H
[]
Let us pick the eigenvectors such that 71
=
V1 =
15
V2
||
18
and 72 -
What are these eigenvectors:
Then fill in the equation to write it in the eigenvector decomposed form.
71&₁ + √2/2 =
ύιξι +
√22 + v1
+7₂](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7be0278b-c62e-4a22-a818-58df3f094bc2%2F2e6117be-e13e-42d9-a264-86444af73493%2Fi743y5f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:We wish to solve the system
[13] + [sin(0)].
via eigenvector decomposition.
X =
Let ₁ be an eigenvector for the smaller eigenvalue of the coefficient matrix and 72 be an eigenvector for the larger eigenvalue.
H
[]
Let us pick the eigenvectors such that 71
=
V1 =
15
V2
||
18
and 72 -
What are these eigenvectors:
Then fill in the equation to write it in the eigenvector decomposed form.
71&₁ + √2/2 =
ύιξι +
√22 + v1
+7₂
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