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Find a vector with a 1 in the second entry that is close
Chapter 5, Problem 5E(choose chapter or problem)
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.
Questions & Answers
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,