MATH 3210 Class Notes 02-12-2025

notevector-spaces

Recall Nullspace

Theorem

For map $T:V\to W$, $\mathrm{null}T$ is a subspace of $V$.

Defined Injective and Surjective Maps

Theorem

For $T\in \mathcal{L}(V,W)$ is injective if and only if $\mathrm{null}T=\left\{0\right\}$.