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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
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.
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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