The document shows examples of matrix multiplication in MATLAB. It defines vectors x and y, and tries to multiply them using A=x*y, which results in an error as their inner dimensions do not agree. It then uses meshgrid to create matrices new_x and new_y from x and y, but multiplying new_x*new_y again results in an error. Finally, it correctly element-wise multiplies new_x and new_y using new_x.*new_y to produce the expected output without errors.