1 Problem 1 Consider a linear time invariant system i = Ar, x(0) = [0, 1, 1]Te RR3 with 2 A = 1. Find the Jordan canonical form of A and give the transformation matrix. 2. Find the solution of the differential equation under given initial conditions. 3. Let A be perturbed by a constant a e R and 2 A = -2 Find the possible values of a such that the system i = Ar is asymptotically stable