Talk:06-240/Classnotes For Thursday November 9

Open Question/Discussion

Is there an intuitive way of understanding why matrix multiplication works in the way that it does? When we consider AB, it is perhaps natural to see why we take entire columns of B at a time (because they represent one basis), but it is, to me, less clear why we take entire rows at a time (that is, for the computation of one number in AB). What, in terms of linear transformations, does a row represent in a matrix?