Following the video from MIT's OCW, the Prof. brings up many different methods, like $row * matrix$, $column * matrix$, etc. Yet don't these all come down to dot product. For example $row * matrix$ would be done using dot product, right? Is the Prof just showing all of these things to show the big picture, or what?
A little bonus: The Prof says that with the multiplication of the matrices A and B (AB) equaling to C, that the rows of C are a combination of the rows of A. Here, the columns of B must be multiplied by the matrix A (column * matrix method) to get one column of C. So, to do this you would end up doing the columns of B times all the rows of A (using dot product, right, question above), yet he says that the columns of C are a combination of the columns of A, is this just because when doing all of the rows, the columns will technically be included?
Thanks for all the help!