We've now learned to add and subtract matrices... how to multiply a matrix by a scalar... and how to multiply two matrices...

So, what about division?

Well, there isn't a division process for matrices.  BUT, there IS a way to get around this little problem.  We can use something we already know about: multiplication.

Here's the scoop:

Say you need to solve this guy...

3x = 4

What do we do?  We divide both sides by 3:

3x / 3 = 4 / 3 ... x = 4 / 3

Let's take a closer look at what's going on here:

Instead of saying that we are dividing by 3, how about saying that we are multiplying by 1 / 3:

3x = 4 ... ( 1 / 3 ) times 3x = ( 1 / 3 ) times 4 ... x = 4 / 3

The result is the same, but we used multiplication instead of division.