# Thread: Proof of transpose

1. ## Proof of transpose

How do I prove: (A^-1)^T = (A^T)^-1

2. Apply $(AB)^T=B^TA^T$ to $AA^{-1}=I$.

3. am I allowed to combine the inverse and tranpose symbols into: A^-T

4. You won't go to prison for it, so I guess you're allowed. But it's neither good nor standard notation.

5. Originally Posted by Noxide
am I allowed to combine the inverse and tranpose symbols into: A^-T
Originally Posted by Bruno J.
You won't go to prison for it, so I guess you're allowed. But it's neither good nor standard notation.
I'd jail you for that.

6. Originally Posted by Noxide
am I allowed to combine the inverse and tranpose symbols into: A^-T
I'd suggest you avoid writing it this way

7. Originally Posted by Drexel28
I'd jail you for that.

And everybody who's been in your dungeon knows what that means...

8. Originally Posted by Bruno J.

And everybody who's been in your dungeon knows what that means...
You better mind your mouth boy or it's the riding crop for you.