a) (5 points) Find the Laplace transform _(f ) of the given function f by using the Laplace Transform of Derivatives: I f (t) = cos2 2t . b) (3 points) Solve the following system of linear equations using the inverse matrix (write the correspondi equivalent matrix equation, solve it using the inverse matrix and find the solution of the original linear system): (X1 + 3x2 =-2 3 x 1 - X 2 = 4