1. The problem statement, all variables and given/known data Given x' = Ax where A = ( 0 1 ) ( -1 0 ) Compute the matrix exponential and then find the solution such that x(0) = ( 1 ) ( 2 ) 2. Relevant equations 3. The attempt at a solution I computed the matrix exponential and obtained the matrix, e^(A) = ( cos(t) sin(t) ) ( -sin(t) cos(t) ) But I don't understand how to compute the initial condition. Am I supposed to compute the initial by multiplying the original A by x(0) and then compute the matrix exponential for the new A? Or multiple e^(A) by x(0)? My notes aren't very clear. But those are my only guesses.. Thanks for any help.