Compute the dot product x"y and the inner products (x, y) and (x,x) for the two vectors defined by: 1-i 2i 2 -1 X = y 3+ 2i 2 3i 1+i 4i Find the eigenvalues of the diagonal matrix D given by: (3) D = 0 -5 Generalize to the case of a diagonal matrix of order n. Calculate Ax and AB for the quantities given below. Is the product BA equal to AB? 1 2 1 1 2 -1 1 3 ; B=| 3 7 2 -2 3 5 2 A = 1 3 3 5 3 Then compute the outer product X of x with itself; it is defined by X = xx". %3D