Linear Algebra Vector Space

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Quotient space (linear algebra) - In linear algebra, the quotient of a vector space V by a subspace N is a vector space obtained by "collapsing" N to zero. The space obtained is called a quotient space and is denoted V/N (read V mod N).

Basis (linear algebra) - In linear algebra, a basis is a set of vectors that, in a linear combination, can represent every vector in a given vector space. In other words, a basis is a linearly independent spanning set.

Cone (linear algebra) - In linear algebra, a (linear) cone is a subset of a vector space that is closed under multiplication by positive scalars.

Flag (linear algebra) - In mathematics, particularly in linear algebra, a flag is an increasing sequence of subspaces of a vector space V. Here "increasing" means each is a proper subspace of the next (see filtration):

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