Question: Solve the problem below. You must solve each part completely and correctly and show all your work to get the indicated points for that

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)

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