# Matrix Equations

In general a matrix

 (2)

consists of rows and columns, and is called an matrix. For example, is a matrix.

Now consider the above matrix as coefficient. Then the product of an matrix with a -dimensional vector is given by

and results in an -dimensional vector. With another -dimensional vector we can express a system of linear equations as follows.

Or, we can simply write .

Provided a matrix A and a vector u in , we can compute the multiplication as follows.

> A * u


EXAMPLE 1. Compute in each of the following.

1.     and

2.     and

Subsections

Department of Mathematics