(1) Find the approximate dominated eigenvalue and corresponding eigenvector by us- ing Power method for the following matrices: 1 -6 -2 with initial approximation X(0) 4 (a) A = -6 3 1 and maximum 4 -2 3 iteration=5. () 3 (b) A = 2 4 5 with initial approximation X( 0 and maximum 3 6. iteration=5.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 18EQ
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(1) Find the approximate dominated eigenvalue and corresponding eigenvector by us-
ing Power method for the following matrices:
1 -6
3 -2 with initial approximation X0) = 1 and maximum
(a) A =
-6
4 -2
3
iteration=5.
3
with initial approximation X)
6.
2
(b) A = 2
0 and maximum
4
%3D
5
iteration=5.
Transcribed Image Text:(1) Find the approximate dominated eigenvalue and corresponding eigenvector by us- ing Power method for the following matrices: 1 -6 3 -2 with initial approximation X0) = 1 and maximum (a) A = -6 4 -2 3 iteration=5. 3 with initial approximation X) 6. 2 (b) A = 2 0 and maximum 4 %3D 5 iteration=5.
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