## #792 – Matrix Multiplication, Part II – Multiplying a Row by a Column

April 5, 2013 1 Comment

When you multiply two matrixes together, you perform a series of operations where you multiply a row in the first matrix by a column in the second matrix. This multiplication results in a single term that will appear in the resulting matrix.

To multiply a row by a column, they must have the same number of elements. If you consider each of them as vectors, you multiply them by calculating the dot product of the two vectors.

A dot product is calculated by multiplying the corresponding elements in the two vectors and then adding the terms together.

For example, we might multiply a row containing the values **a, b, c** with a column containing the values **x, y, z** as follows: