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#Math

$\text{im}(T)={T(\vec x):\vec x\in \mathbb{R}^m}=\text{span}(\vec v_1,\ldots,\vec v_m)$

• $T:\mathbb{R}^m\rightarrow\mathbb{R}^n$
• Same as the range of a function
• $\text{im}(T)\subseteq \mathbb{R}^n$ and $\text{im(T)}$ is a subspace of $\mathbb{R}^n$
• Also known as the column space of $A$, where $A$ is a matrix of column vectors representing $T$