Promble.- Suppose that the n x n matrices A and B commute; that is, that AB = BA. Prove that eA+B = eAeB. (Suggestion: Group the terms in the product of the two series on the right-hand side to obtain the series on the left.) Deduce from the result of Above problem that, for every square matrix A, the matrix eA is nonsingular with  (eA)-1 = e-A

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