Linearly Independent

Last updated Nov 1, 2022

Let $V$ be a Vector Space on Field $F$. Let $S \subset V$. $S$ is Linearly Independent if it is not Linearly Dependent

Let $V$ be a Vector Space on Field $F$. Let $\mathbf{a}{1}, \dots, \mathbf{a}{n} \in V$ for some $n \in \mathbb{N}$. $\mathbf{a}{1}, \dots, \mathbf{a}{n}$ are Linearly Independent if they are not Linearly Dependent.