a B 3. Let b = C and d = where Vaz+ 82+ 12" Va2+ 82 + 72 Va2+ 82+ 2' a = 1 + fifth digit of your York student ID = 1 + sixth digit of your York student ID = 1 + seventh digit of your York student ID Let u = Define Tu : R3 -> R where Tu(x) = u . T is the dot product of u and x. (a) Show that Tu is a linear transformation. (b) Find the matrix of Tu. (c) Let S : R" - R" be the transformation induced by the 3 x 3 matrix (I - uu"). Show that, for & E R3, S() is perpendicular to u