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.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 15CR: For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of...
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