# Is this true?

#### Chris11

Do all matricies represent some linear transformation?

#### Bruno J.

MHF Hall of Honor
Yes! The $$\displaystyle n\times m$$ matrix $$\displaystyle A$$ represents the linear transformation $$\displaystyle A : \mathbb{R}^m \rightarrow \mathbb{R}^n$$ given by $$\displaystyle x \mapsto Ax$$.