# Proof of transpose

• Jan 24th 2010, 08:00 PM
Noxide
Proof of transpose
How do I prove: (A^-1)^T = (A^T)^-1
• Jan 24th 2010, 08:18 PM
Bruno J.
Apply \$\displaystyle (AB)^T=B^TA^T\$ to \$\displaystyle AA^{-1}=I\$.
• Jan 24th 2010, 08:21 PM
Noxide
am I allowed to combine the inverse and tranpose symbols into: A^-T
• Jan 24th 2010, 09:15 PM
Bruno J.
You won't go to prison for it, so I guess you're allowed. But it's neither good nor standard notation.
• Jan 24th 2010, 10:35 PM
Drexel28
Quote:

Originally Posted by Noxide
am I allowed to combine the inverse and tranpose symbols into: A^-T

Quote:

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.
• Jan 24th 2010, 11:34 PM
Moo
Quote:

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 (Worried)
• Jan 25th 2010, 08:30 AM
Bruno J.
Quote:

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

(Rofl)

And everybody who's been in your dungeon knows what that means...
• Jan 25th 2010, 08:48 AM
Drexel28
Quote:

Originally Posted by Bruno J.
(Rofl)

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.