Let T: R³ R3 be the function given by: T((x, y, z)) = (5x-3y-22, 4x-6y + 3z, 2x +2y). a. Let = (2,-7,4), and let v = (3,-2, 0). Compute u + v, I(u), TV), T(u) + TV), and I(u + v). Find 7((0, 0, 0)). b. C. Let u = (u1, U2, U3 ), V = (V1, V2, V3), and k = R. Show that T(+) = T(u) + T(v) and T(ku) = kT(u). d. Find [T]. e. Use your answer to (d) to recompute T((2,-7, 4)) as a matrix product.