(Solution) - Use the Power method to approximate the most dominant eigenvalue -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

Paper Format: APA

Pages: 5 Words: 1375

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Use the Power method to approximate the most dominant eigenvalue of the matrices in Exercise 2. Iterate until a tolerance of 10?4 is achieved or until the number of iterations exceeds 25.
In exercise
a.

Use the Power method to approximate the most dominant eigenvalue
Use x(0) = (1, 2, 1)t.
b.
Use the Power method to approximate the most dominant eigenvalue
Use x(0) = (1, 1, 0, 1)t.
c.
Use the Power method to approximate the most dominant eigenvalue
Use x(0) = (1, 1, 0,?3)t.
d.
Use the Power method to approximate the most dominant eigenvalue
Use x(0) = (0, 0, 0, 1)t.