Given matrix F as follows. [4 F = 9 L8 15 4 -4 8 9 a) Use the Gerschgorin's Circle Theorem to determine region of all the eigenvalues of F. State the biggest circle. b) Find the dominant eigenvalue (2₁) and the corresponding eigenvector of matrix F using Power method. Use v(0) = [1, 1, 0]. Do calculations in 3 decimal points and ε = 0.01.
Given matrix F as follows. [4 F = 9 L8 15 4 -4 8 9 a) Use the Gerschgorin's Circle Theorem to determine region of all the eigenvalues of F. State the biggest circle. b) Find the dominant eigenvalue (2₁) and the corresponding eigenvector of matrix F using Power method. Use v(0) = [1, 1, 0]. Do calculations in 3 decimal points and ε = 0.01.
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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i want B and if you can answer a ok but b first thanks
![Given matrix F as follows.
[4
F = 9
L8
15
4
-4
8
9
a) Use the Gerschgorin's Circle Theorem to determine region of all the eigenvalues of F.
State the biggest circle.
b) Find the dominant eigenvalue (2₁) and the corresponding eigenvector of matrix F
using Power method. Use v(º) = [1, 1, 0]. Do calculations in 3 decimal points and
ε = 0.01.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a30be74-a81e-4985-b94d-4cd71e619e2d%2F3dd1e09f-ac2b-49a5-ac1d-2c1ba301b1ee%2Fu8fuga_processed.png&w=3840&q=75)
Transcribed Image Text:Given matrix F as follows.
[4
F = 9
L8
15
4
-4
8
9
a) Use the Gerschgorin's Circle Theorem to determine region of all the eigenvalues of F.
State the biggest circle.
b) Find the dominant eigenvalue (2₁) and the corresponding eigenvector of matrix F
using Power method. Use v(º) = [1, 1, 0]. Do calculations in 3 decimal points and
ε = 0.01.
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