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

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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