Bruno J. MHF Hall of Honor Jun 2009 1,266 498 Canada Jun 6, 2010 #2 Yes! The \(\displaystyle n\times m\) matrix \(\displaystyle A\) represents the linear transformation \(\displaystyle A : \mathbb{R}^m \rightarrow \mathbb{R}^n\) given by \(\displaystyle x \mapsto Ax\).

Yes! The \(\displaystyle n\times m\) matrix \(\displaystyle A\) represents the linear transformation \(\displaystyle A : \mathbb{R}^m \rightarrow \mathbb{R}^n\) given by \(\displaystyle x \mapsto Ax\).