Basis (English)
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Definition (undergraduate level)
A set of vectors with which we can express any vector in a particular vector space.
To be a basis for a given vector space, a set of vectors must span the space and be linearly independent. The number of vectors in the basis will be the same as the dimension of the space.
To be a basis for a given vector space, a set of vectors must span the space and be linearly independent. The number of vectors in the basis will be the same as the dimension of the space.
Relations
- broader:
- (en) Set of vectors
- narrower:
- (en) Orthonormal basis
- references:
- (en) Linear independence
- (en) Span
- (en) Vector space
- referenced:
- (en) Dimension of a vector space
- (en) Rank
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