Can Invertible Matrices Help Prove the Invertibility of Transposes?

[zohapmkoftid]

Homework Statement

[PLAIN]http://uploadpie.com/fHoAj

Homework Equations

The Attempt at a Solution

[PLAIN]http://uploadpie.com/fCgEI

 

[Fredrik]

It's easy to show that if a matrix A is invertible, then so is its transpose A^T. Do you know any facts about invertible matrices that might help you do this?

 

[zohapmkoftid]

It's easy to show that if a matrix A is invertible, then so is its transpose A^T. Do you know any facts about invertible matrices that might help you do this?

Yes, it is very easy to prove that. Thanks!