The "outer product" of two n vectors is an n by n matrix and the tensor product (where two n by n tensor produce and "n by n by n by n" tensor) is often called an "outerproduct" so, at a guess, the "outer product" of two matrices written as n by m and j by k arrays is an n by m by j by k array (written in four dimensions, of course!) where the entry is .
That makes the calculation of this "outerproduct" easy but I'm not sure how one would represent that in 2D (on the screen).