Consider the ordered basis B = {(1,-1,0), (1, 1, 1), (0, 1, 1)} of R³. the coordinate vector v = (-2,-1,0) with respect to B: Give CB (V) = Let T: R³ → P3 be given as T((1,0,0)) = 8x³ + (10)x² + (−5)x+ (-3), T((0, 1,0)) = 4x³ + (10)x² + (−5)x+ (−8), and T((0,0,1)) = -12x³ + (-13)x² + (1)x+ (13). Then T(v) = Compute T((1,-1,0)) = T((1,1,1)) = T((0, 1, 1)) = T³- x² + ³+ 73 x²³+ x+ 2²+ x² + 12² + 7x+[ x+ Let D = {x³, x³ + x², x³ + x² + x, x³ + x² + x + 1} be an ordered basis of P3. Compute the matrix of T corresponding to the ordered basis B and D. MDB(T) =

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