Find the eigenvalues of the symmetric matrix. (Enter your answers as a comma-separated list. Enter your answers from smallest to largest.) 0 λ¡ = -1 4 4 -1 0 0 ܘܘ bot 0 0 -1 4 0 4 -1 For each eigenvalue, find the dimension of the corresponding eigenspace. (Enter your answers as a comma-separated list.) dim(x) = Need Help? Read It Watch It

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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362-366

Find the eigenvalues of the symmetric matrix. (Enter your answers as a comma-separated list. Enter your answers from smallest to largest.)
-1 4 0 0
4 -1
0 0
0
0 -1 4
00 4 -1
2₁ =
For each eigenvalue, find the dimension of the corresponding eigenspace. (Enter your answers as a comma-separated list.)
dim(x;)
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Transcribed Image Text:Find the eigenvalues of the symmetric matrix. (Enter your answers as a comma-separated list. Enter your answers from smallest to largest.) -1 4 0 0 4 -1 0 0 0 0 -1 4 00 4 -1 2₁ = For each eigenvalue, find the dimension of the corresponding eigenspace. (Enter your answers as a comma-separated list.) dim(x;) Need Help? Read It Watch It
Use the age transition matrix L and age distribution vector x₁ to find the age distribution vectors x₂ and X3.
0 3
L =
- [ + ] ×
0
=
X2
~|__F
X3
=
X1
x = t
=
Then find a stable age distribution vector.
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[12]
Transcribed Image Text:Use the age transition matrix L and age distribution vector x₁ to find the age distribution vectors x₂ and X3. 0 3 L = - [ + ] × 0 = X2 ~|__F X3 = X1 x = t = Then find a stable age distribution vector. Need Help? Read It [12]
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