If two matrices contain the same numbers as
elements, are the two matrices equal to each other?

### A good answer might be:

No, to be equal, two matrices must have the same dimensions,
and must have the same values in the same positions.

# Matrix Equality

For two matrices to be equal, they must have

- The same dimensions.
- Corresponding elements must be equal.

In other words, say that **A**_{n x m} = [a_{ij}]
and that **B**_{p x q} = [b_{ij}].

Then **A** = **B** if and only if n=p, m=q, and a_{ij}=b_{ij}
for all i and j in range.

Here are two matrices which __are not__ equal even though
they have the same elements.