Q1. Work this problem out by hand. Let 0 1 A = Carry out the power method with starting vector qo = [a, b], where a, b >0 and a > b. Calculate the first few terms; what do you notice? Explain why the sequence fails to converge. What is the problem with the convergence argument we had in the lecture? Which of the conditions is violated?

Given matrix is A=0110 Given starting vector is q0=abT, a,b≥0, a>b. Then, by power method,…

Answered: Q1. Work this problem out by hand. Let 0 1 A = Carry out the power method with starting vector qo = [a, b], where a, b >0 and a > b. Calculate the first few…

Advanced Engineering Mathematics

10th Edition

ISBN: 9780470458365

Author: Erwin Kreyszig

Publisher: Wiley, John & Sons, Incorporated

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Question

Q1. Work this problem out by hand. Let
[
0 1
1 0
A =
Carry out the power method with starting vector qo = [a, b]", where a, b >0 and a > b.
Calculate the first few terms; what do you notice?
Explain why the sequence fails to converge. What is the problem with the convergence
argument we had in the lecture? Which of the conditions is violated?

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