1. For the 2x2 matrix A [ -1.2 1.1 3.6 -0.8 apply eight iterations of the power method. Find the characteristic polynomial, and hence find the two true eigenvalues of the matrix. Verify that the approximations are converging to the eigenvalue with the larger magnitude.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.5: Eigenvalues And Eigenvectors
Problem 15E
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1. For the 2x2 matrix
A
[
-1.2 1.1
3.6 -0.8
apply eight iterations of the power method. Find the characteristic polynomial, and hence
find the two true eigenvalues of the matrix. Verify that the approximations are converging
to the eigenvalue with the larger magnitude.
Transcribed Image Text:1. For the 2x2 matrix A [ -1.2 1.1 3.6 -0.8 apply eight iterations of the power method. Find the characteristic polynomial, and hence find the two true eigenvalues of the matrix. Verify that the approximations are converging to the eigenvalue with the larger magnitude.
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