Can you solve it in pen and paper and mathematically

Problem 1. (30 pts) Let -2 1 0 A = 0 1 -2 1. Find the Jordan form of A, and give the corresponding transformation matrix P. Show detailed steps to solve the problem. 2. Compute the solution of the differential equation x(t) = Ax(t) with the initial condition x(0) = [1, 1, 1]. Show detailed steps to solve the problem. 3. Analyze the stability of the system described by the differential equation x(t) = Ax(t). Show detailed steps to solve the