Solved: Exercises 13 and 14 apply to a 3 × 3 matrix A

Chapter 5, Problem 14E

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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.

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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

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