Use the Symmetric Power method to approximate the most dominant eigenvalue of the matrices in Exercise 5. Iterate until a tolerance of 104 is achieved

Use the Symmetric Power method to approximate the most dominant eigenvalue of the matrices in Exercise 5. Iterate until a tolerance of 10ˆ’4 is achieved or until the number of iterations exceeds 25.
In exercise
a.

Use x(0) = (1,ˆ’1, 2)t.
b.

Use x(0) = (ˆ’1, 0, 1)t.
c.

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

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

121 211 101 110 4.75 2.25-0.25 2.25 4.75 1.25 -0.25 1.25 4.75 0024 1152 1310 4110