Repeat Exercise 8 using Aitken's Δ2 technique and the Power method for the most dominant eigenvalue.
Use the Power method to approximate the most dominant eigenvalue of the matrices in Exercise 2. Iterate until a tolerance of 10ˆ’4 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,ˆ’3)t.
d.

Use x(0) = (0, 0, 0, 1)t.

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