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.
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.
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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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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