Kernel

#Math

$\text{ker}(T)=\mathcal{N}(\mathbf{A})={\vec x\in\mathbb{R}^m:T(\vec x)=\vec 0}$

• $T:\mathbb{R}^m\rightarrow\mathbb{R}^n$
• Can be thought of as the zeroes of a polynomial function
• $\text{im}(T)\subseteq \mathbb{R}^n$ and $\text{ker(T)}$ is a subspace of $\mathbb{R}^m$
• Also called the null space of $A$, where $A$ is a matrix of column vectors representing $T$