Ordered Basis

Definition: Ordered Basis

If $B=\{{\mathbf{b}}_1,\cdots ,{\mathbf{b}}_n\}$ is a Basis of an $n$-dimensional Vector Space $(V,F,+,\cdot )$, then we call any $n$-tuple of the elements of $B$ and ordered basis of $(V,F,+,\cdot )$.