Work this problem by hand. Let

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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Q1. Work this problem by hand. Let
0 1
1 0
A =
Carry out the power method with starting vector qo = [a, b]ª, 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?
Transcribed Image Text:Q1. Work this problem by hand. Let 0 1 1 0 A = Carry out the power method with starting vector qo = [a, b]ª, 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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