Repeat Exercise 8 using Aitken's Î2 technique and the Power method for the most dominant eigenvalue. Use
Question:
Use the Power method to approximate the most dominant eigenvalue of the matrices in Exercise 2. Iterate until a tolerance of 104 is achieved or until the number of iterations exceeds 25.
In exercise
a.
Use x(0) = (1, 2, 1)t.
b.
Use x(0) = (1, 1, 0, 1)t.
c.
Use x(0) = (1, 1, 0,3)t.
d.
Use x(0) = (0, 0, 0, 1)t.
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