(1) State whether the following statements are true or false. Justify your answer. (a) (5 points) Any diagonal matrix is a valid kernel matrix. (Recall that a matrix A is called diagonal if for all i + j, Aij = 0.) (b) (5 points) If K(x,z) is a kernel function, then for all x and z, K(x,x) + K(2, 2) 2K(x,x) > 0