4. For the given matrix -2 1 3 1 3 -1 3 1 2 a) Use the direct method to find all the eigenvalues and corresponding eigen- vectors.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 26EQ
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4. For the given matrix
1 3
1
3 -1
3
1 2
a) Use the direct method to find all the eigenvalues and corresponding eigen-
vectors.
(b) Use the Power Method to find the most dominant eigenvalue and the cor-
responding eigenvector.
(c) Use the Inverse Power method to find an eigenvalue.
(d) Use the Wielandt Deflation to approximate second most dominant eigen-
value.
-2
Transcribed Image Text:4. For the given matrix 1 3 1 3 -1 3 1 2 a) Use the direct method to find all the eigenvalues and corresponding eigen- vectors. (b) Use the Power Method to find the most dominant eigenvalue and the cor- responding eigenvector. (c) Use the Inverse Power method to find an eigenvalue. (d) Use the Wielandt Deflation to approximate second most dominant eigen- value. -2
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