Let a = (x1, X2, X3) and B = (y1, Y2, Y3) and the bilinear form of a and is given as f(a, B) = x Y + 2 x y2 + 5x1 Y3 - 2 X2 Y + X2 Y3 6 x3 Y2 + 6 x3 Y3. Find the matrix of f and rank of f.