Definition:Standard Basis/Vector Space
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Definition
Let $\left({\mathbf V, +, \circ}\right)_{\mathbb F}$ be a vector space over $\mathbb F$.
Let $\left({\mathbf e_1, \mathbf e_2, \ldots, \mathbf e_n}\right)$ be the standard ordered basis on $\mathbf V$.
The corresponding (unordered) set $\left\{{\mathbf e_1, \mathbf e_2, \ldots, \mathbf e_n}\right\}$ is called the standard basis of $\mathbf V$
Also see
Sources
- 1995: John B. Fraleigh and Raymond A. Beauregard: Linear Algebra (3rd ed.): $\S 3.3$