## BASIS

### Basis

In linear algebra, a**basis**is a set of linearly independent vectors that, in a linear combination, can represent every vector in a given vector space or free module, or, more simply put, which define a "coordinate system" . In more general terms, a basis is a linearly independent spanning set.

*The above text is a snippet from Wikipedia: Basis (linear algebra)*

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### basis

#### Noun

- A starting point, base or foundation for an argument or hypothesis.
- An underlying condition or circumstance.
- regular frequency
*You should brush your teeth on a daily***basis**at minimum.*The flights to Fiji leave on a weekly***basis**.*Cars must be checked on a yearly***basis**.

- In a vector space, a linearly independent set of vectors spanning the whole vector space.
- Amount paid for an investment, including commissions and other expenses.
- A collection of subsets ("basis elements") of a set, such that this collection covers the set, and for any two basis elements which both contain an element of the set, there is a third basis element contained in the intersection of the first two, which also contains that element.

*The above text is a snippet from Wiktionary: basis*

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and as such is available under the Creative Commons Attribution/Share-Alike License.