Where: (X,W)=X(33)W(32) (.)iselementwisesigmoid(z)=1+c11 (.)issummationoftheinput a. Determine the dimension of the variables N,S, and L. c. Calculate the N,S, and L given the following input matrices: X=211202111W=102120 d. Calculate the derivatives d/ du (S), d/du(N),d/du(X),dL/du(X). Hint, you can search online for the derivative of the sigmoid. e. Suppose X111 (entry in X ) changed from 2 to 2.001 calculate the change in L and compare it with the corresponding entry in dL/du(X) matrix