Solution Found!
Repeat Exercise 5, using the following sequence Reference:
Chapter 5, Problem 6E(choose chapter or problem)
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,