1. The problem statement, all variables and given/known data If A is a diagonal matrix with the diagonal entries a1, a2, ...., an, use the power series to prove that exp(At) is a diagonal matrix with the entries exp(a1t), exp(a2t), ....., exp(ant). 2. Relevant equations 3. The attempt at a solution I can prove that A is diagonalizable with T-1 AT=D, but I'm not sure how to begin the proof using the power series as a method. My book does not discuss this and any insight would be greatly appreciated, thanks!