Let A be an m x n matrix and let B be an n x p matrix.

(a) Show that image(AB) is a subspace of image(A), by showing every vector in the image of AB is in the image of A.

To do this, would I create two arbitrary matrixes and multiple them together and try to show that the images are the same? I'm a bit confused as to what is going on here. We are learning about determinants and I don't really see how this plays into that..