3. let a be an m x n = 0 and aw = 0 matrix, and let v and w be vectors in r" with the property that av explain why a(v w) 0. then explain why a(ev dw) 0 for each pair of scalars c and d.

Let be an matrix and vectors in with the property that .

Then, using the distributive property between matrices we have that

, so

Now, let c and d scalars. Observe that using the property of  product of a matrix by a scalar and the distributive property we have that