ACIT4330-Page/content/Definitions/Vector Spaces/Linear Basis.md

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# Definition
A **linear basis** of $V$ is a subset $\{ v_{i} \} \subset V$ such that every vector can be written uniquely as $\Sigma_{i} c_{i} v_{i}$ for finitely many non-zero $c_{i} \in \mathbb{C}$.
	`# Definition`
	`A linear basis of $V$ is a subset $\{ v_{i} \} \subset V$ such that every vector can be written uniquely as $\Sigma_{i} c_{i} v_{i}$ for finitely many non-zero $c_{i} \in \mathbb{C}$.`