Code needed in MATLAB.

(You need to turn this part in.) Let f(x,y) = sin(x) cos(2y) be defined on the domain 0,27) X (0,27), divide the x axis into M = 100 subintervals, and y axis into N = 100 subinterbvals, and discretize f to form form a 2D vector fjk = f(jhz, khy). Use MATLAB function fft2 to compute FFT coefficients fm,n of the discretized fjk, and plot the coefficients fm,n. Try to calculate the coefficients by hand and see if they match. Finally, use MATLAB function ifft2 to transform from fm,n to another 2D vector gj,k. Verify if 9jk = fjk for any j and k. (You need to turn this part in.) Let f(x,y) = sin(x) cos(2y) be defined on the domain 0,27) X (0,27), divide the x axis into M = 100 subintervals, and y axis into N = 100 subinterbvals, and discretize f to form form a 2D vector fjk = f(jhz, khy). Use MATLAB function fft2 to compute FFT coefficients fm,n of the discretized fjk, and plot the coefficients fm,n. Try to calculate the coefficients by hand and see if they match. Finally, use MATLAB function ifft2 to transform from fm,n to another 2D vector gj,k. Verify if 9jk = fjk for any j and k