. A . 2 2. COHSldeI' the operators K = V2 = 1% [% (72%) + 5111166439 (s1n9%) + 9,1526%] (as we will discuss later on, this is the Laplacian in spherical coordinates) and I3 = % as well as the wavefunctions: $10\") : e'ZT, 1/120") : re'ZT, assume Z > 0. (a) Are the wavefunctions normalized? If not, normalize them and check. (b) Are the wavefunctions orthogonal? (0) Write the general matrix representation of if and I3 in the basis of the wave functions {|1/)1),|1/12)} (hint: compute the integrals for each element of the matrix). (d) Is R and/ or 13' hermitian