Do the projection theorem in MATLAB and plot for N=1, 5, 10, 15, 20, 25

. Let us approximate the square pulse, h(t) Let he L2[0, +00), ie, we are viewing h as an element in h(t) the Hilbert space of square integrable functions in [0, oo) Consider the following closed linear subspace of dimension N of C2[0, +o0): As range(h(t), i 0, N-1), where hi(t) = tic". Apply the Projection Theorem: h must sa So, VieO, N -1, we must satisfy the following N equations in N unknowns: N-1 N-1 0