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Solved: Exercises 13 and 14 apply to a 3 × 3 matrix A
Chapter 5, Problem 14E(choose chapter or problem)
QUESTION:
Problem 14E
Exercises 13 and 14 apply to a 3 × 3 matrix A whose eigenvalues are estimated to be 4, –4, and 3.
Suppose the eigenvalues close to 4 and –4 are known to have exactly the same absolute value. Describe how one might obtain a sequence that estimates the eigenvalue close to 4.
Questions & Answers
QUESTION:
Problem 14E
Exercises 13 and 14 apply to a 3 × 3 matrix A whose eigenvalues are estimated to be 4, –4, and 3.
Suppose the eigenvalues close to 4 and –4 are known to have exactly the same absolute value. Describe how one might obtain a sequence that estimates the eigenvalue close to 4.
ANSWER:
Solution 14E
Consider that the eigenvalues close to 4 and