## 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)

### basis

#### Noun

1. A starting point, base or foundation for an argument or hypothesis.
2. An underlying condition or circumstance.
3. 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.
4. In a vector space, a linearly independent set of vectors spanning the whole vector space.
5. Amount paid for an investment, including commissions and other expenses.
6. 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