Consider the matrix, V = [1, 1, 1,0; 1, 1, -1, 0; 1, -1, 0, 1; 1, -1, 0, -1] Show that v(1), v(2) and v(3) and v(4) (and thus also V itself) are orthogonal. Let s = [0 1 -2 3]T, determine the coefficients c1, C2, c3, ,c4 used for projecting s onto v(1).v(4),respectively Using v(1), v(2) and v(3) only, find s*, an approximation for s using the orthogonal projection method. Determine the error vector s* - s.