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Exercises 13 and 14 apply to a 3 × 3 matrix A whose
Chapter 5, Problem 13E(choose chapter or problem)
QUESTION:
Exercises 13 and 14 apply to a 3 × 3 matrix A whose eigenvalues are estimated to be 4, –4, and 3.
If the eigenvalues close to 4 and –4 are known to have different absolute values, will the power method work? Is it likely to be useful?
Questions & Answers
QUESTION:
Exercises 13 and 14 apply to a 3 × 3 matrix A whose eigenvalues are estimated to be 4, –4, and 3.
If the eigenvalues close to 4 and –4 are known to have different absolute values, will the power method work? Is it likely to be useful?
ANSWER:Solution 13EConsider that the eigenvalues close to 4 and have the same absolute value.In this case, to describe that how we obtain a sequence that estimates the eigenvalue close to 4:If the eigen