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.

and

and
Subsections
Department of Mathematics
Last modified: 20051021