Question: 3.14 Consider the following square matrix: (a) Compute Ak and eAt using the CayleyHamilton theorem. (b) Find the square roots of the matrix, that is,

3.14 Consider the following square matrix:

A = = = [ 2]

(a) Compute Ak and eAt using the Cayley–Hamilton theorem.

(b) Find the square roots of the matrix, that is, find all matrices B such that B2 ¼ A using the Cayley–Hamilton theorem method.

A = = = [ 2]

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