A matrix times a column matrix results in a column matrix.

Here is an example of a matrix times a column matrix:

The details of how this is done will be explained later. For now, look at the dimensions of the operands and of the result. A matrix times column matrix product can be formed if the dimensions look like this:

Matrix x Col. Matrix = Resulting Col. Matrix R x N N x 1 = R x 1 -------- same

For the above example:

Matrix x Col. Matrix = Resulting Col. Matrix 2 x 2 2 x 1 = 2 x 1 -------- same

Dimensions are displayed as "Row x Column". An R x 1 matrix is a column matrix (because it has 1 column).