1 Problem 1 Consider a linear time invariant system at = Ax, 3(0) = [0, 1, 1]T E R3 with 1 2 1 A = 0 1 0 0 1 2 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 1 2 1 A = 0 1 a 0 1 2 Find the possible values of a such that the system 33 = A5: is asymptotically stable