Suppose that S = {u, 12, 13, 14} where 72 56 u = 23 199 -144 -113 197 u = -299 -187 60 244 -290 u3 = 72, 23, 199, -144, -113, 197 56, -299, -187, 60, 244, -290 291, 267, -233, -13, -95, 179 -201, 18, -151, 99, -299, 169 -19048, -7900, 13225, -4552, -28984, 23180 291 267 -233 -13 -95 179 The vector v is in the span of S written in the form 14 -201 18 -151 99 -299 169 and v = To avoid typing errors, you can copy and past the following sequences to your Maple worksheet to form entries of the vectors or an augmented matrix. -19048 -7900 13225 AY -4552 -28984 23180 au + Bu + yuz + du4. Find a possible set of values for a, , y, d. Enter the values of a, p, y, 6 as a sequence in the box below [a, B, y, d] = Suppose that S = {P1, P2, P3, P4), where P1(x) = 216 +178 z-264 x2-285 2 P2(x) = -295 + 180 z-36 x2-174 z P3(x) = 212+189 x 175 x-712 P4(x)=-266-273 2 -147 x +97 and p(x) = 44724 +22102 +9814 x2 +5548x x- To avoid typing errors, you can copy and past the following sequences to your Maple worksheet. 216, 178, -264, -285 -295, 180, -36, -174 212, 189, -175, -71 -266, -273, -147, 97 44724, 22102, 9814, 5548 The polynomial p is a linear combination of S written in the form ap1 + Bp2+yP3 + 6p4. Find a possible set of values for a, b, y, 6. Enter the values of a, , y, 6 as a sequence in the box below [a, B, 7, 8] =