Basis Vector

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A Basis Vector is a vector set that forms a vector basis in an n-dimensional vector space.



References

2020a

  • (Wikipedia, 2020) ⇒ https://en.wikipedia.org/wiki/Basis_(linear_algebra) Retrieved:2020-8-15.
    • In mathematics, a set of elements (vectors) in a vector space V is called a basis, if every element of V may be written in a unique way as a (finite) linear combination of elements of . The coefficients of this linear combination are referred to as components or coordinates on of the vector. The elements of a basis are called basis vectors.

      Equivalently is a basis if its elements are linearly independent and every element of is a linear combination of elements of $B$. In more general terms, a basis is a linearly independent spanning set.

      A vector space can have several bases; however all the bases have the same number of elements, called the dimension of the vector space.

2020b

2015

2001