Question: (i) Explain how to use the deflation method of Exercise 8.2.52 to find the subdominant eigenvalue of a nonsingular matrix A. (ii) Apply your method

(i) Explain how to use the deflation method of Exercise 8.2.52 to find the subdominant eigenvalue of a nonsingular matrix A.
(ii) Apply your method to the matrices in Exercise 10.6.1.
In Exercise 10.6.1
Use the power method to find the dominant eigenvalue and associated eigenvector of the following matrices:
(a)
(i) Explain how to use the deflation method of Exercise

(b)

(i) Explain how to use the deflation method of Exercise

(c)

(i) Explain how to use the deflation method of Exercise

(d)

(i) Explain how to use the deflation method of Exercise

(e)

(i) Explain how to use the deflation method of Exercise

(f)

(i) Explain how to use the deflation method of Exercise

(g)

(i) Explain how to use the deflation method of Exercise

(h)

(i) Explain how to use the deflation method of Exercise

(1 2) 0 3 013 121 310 104 025 3 224 112 212 0012 0121 1210 1 2100 10-4 0-41 1410 4-01

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i First compute the dominant eigenvalue 1 and eigenvector v 1 using the power method Then set B A 1 ... View full answer

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