Matrix Transformation

A matrix transformation is a process that finds $T(\overrightarrow{v})$ from a given converts a Column Vector $\overrightarrow{v}$

Theorem

1. Given Linear map $T(x):R^n\to R^m$
2. Given column vector $x$ of $n$ size
3. Given Transformation Matrix representation $A$ of $T(x)$ being a $n\times m$ matrix
4. $⟹T(x)=Ax$ (Matrix Multiplication)
   1. Resulting vector will be in the $m$-th dimension