Solve the problem below. You must solve each part completely and correctly and show all your work to get the indicated points for that part. Let T: R3 R3 be the linear transformation given by T(x1, x2, x3)=(xX1X2, X2 X3, X3). a) Find the standard matrix of T. (2 points) b) Show that this matrix is invertible and find its inverse. (1 point) c) Explain why T is an invertible linear transformation and find the standard matrix of T.(1 point) d) Find T-1(x1, x2, x3). (2 points)