# Associative

Multiply the first two following matrices together.
Click on the = to check your result.
Then multiply the result with the third matrix.

Now do the problem again, but this time
start by multiplying the last two
matrices.

The final answer is the same for both ways of doing the problem.
This demonstates the fact that matrix multiplication is
**associative**:

(**AB**)**C** = **A**(**BC**)

Of course, the inner dimension of **A** and **B**
must be the same, and the inner dimension of **B** and **C**
must be the same.
Usually a product of three matrices is written **ABC**.