Repeat Exercise 5, using the following sequence Reference:

Chapter 5, Problem 6E

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QUESTION:

Problem 6E

Repeat Exercise 5, using the following sequence

Reference:

Find a vector with a 1 in the second entry that is close to an eigenvector of A. Use four decimal places. Check your estimate, and give an estimate for the dominant eigenvalue of A.

Questions & Answers

QUESTION:

Problem 6E

Repeat Exercise 5, using the following sequence

Reference:

Find a vector with a 1 in the second entry that is close to an eigenvector of A. Use four decimal places. Check your estimate, and give an estimate for the dominant eigenvalue of A.

ANSWER:

Solution  6E

Step 1

Consider the matrix,

And, the vectors  are given respectively as,

Since the matrixis an estimate for an eigenvector, the vector with one

in its second entry, that is close to an eigenvector ofis,

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