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

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: