Find a vector with a 1 in the second entry that is close

Chapter 5, Problem 5E

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QUESTION:

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.

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QUESTION:

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 5EStep 1 Consider the matrix, And, the vectors are given respectively as, Since the matrix is an estimate for an eigenvector, the vector with onein its second entry, that is close to an eigenvector of is,

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