## vector spaceAlso known as a linear space, the most fundamental concept
in linear algebra. A vector space
is a set of vectors
together with a field of scalars
such that: the sum of any two members of the set is a vector also in the
set, and multiplication of a member of the set by a member of the field
produces a vector also in the set. It is a generalization of the set of
all geometrical vectors and is used throughout modern mathematics. Like
the concepts of a group, a ring,
and a field, that of a vector space is entirely abstract. ## Related categories• ALGEBRA• SETS AND SET THEORY | |||||

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