You are provided with a group of basis vectors, (x, y, z), and another vector, c, that has the coordinates c (1, 2, 3) within this basis = a). Create a new group of vectors by multiplying each of the original vectors by the matrix provided: (Cos(/4 M = (sin(/4) (0 - sin(/4) COS(/4) 0 0) 0) 1) b). Coordinates of c in this new basis? c). Compare your findings from b with what you get by multiplying CTM