A transpose of a nonsingular matrix is nonsingular

[Dustinsfl]

A transpose of a nonsingular matrix is nonsingular.

This is true; however, how can this be done without using determinants?

I know how to do this with determinants so please don't inform how to do this with determinants.

 

[VeeEight]

Use (AB)^T = B^TA^T

 

[Dustinsfl]

Thanks got it.

 

[VeeEight]