# Matrix multiplication

1. Sep 2, 2008

### Shaun Culver

1. The problem statement, all variables and given/known data

Prove the formula.

2. Relevant equations

Matrix multiplication:
$$(\text{AB})_{i \,j}=\sum _{k=1}^n a_{i \,k}b_{k \,j}$$

3. The attempt at a solution

I do not know how to "prove" the formula for arbitrary values of $k$ and $n$.

2. Sep 2, 2008