Question: Find any matrix function A(t) such that the exponential function exp(integral from 0 to t fo A(x) ds) is not a matrix solution of the

Find any matrix function A(t) such that the exponential function

exp(integral from 0 to t foA(x) ds)

is not a matrix solution of the system x' = A(t)x. However, show

that the given exponential formula is a solution in the scalar case

(A(t) in R), and dene when it is a solution in the matrix valued case

(A(t) in R^nn).

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