# Matrix transpose proof

1. Jan 26, 2006

### asdf1

how do you prove:
(AB)^T=C^T=B^T*A^T?

2. Jan 26, 2006

### HallsofIvy

Staff Emeritus
First write out the precise definition of "transpose".

3. Jan 26, 2006

### twoflower

Try expressing individual element of $A$, $B$, $AB$ and then $AB^T$.