Is this true?

Sep 2009
177
18
Do all matricies represent some linear transformation?
 

Bruno J.

MHF Hall of Honor
Jun 2009
1,266
498
Canada
Yes! The \(\displaystyle n\times m\) matrix \(\displaystyle A\) represents the linear transformation \(\displaystyle A : \mathbb{R}^m \rightarrow \mathbb{R}^n\) given by \(\displaystyle x \mapsto Ax\).