Vector space/Linear combination/Definition
Linear combination
Let be a field, and let be a -vector space. Let denote a family of vectors in . Then the vector
is called a linear combination of this vectors (for the coefficient tuple ).
Let be a
field,
and let
be a
-vector space.
Let
denote a family of vectors in
. Then the vector
is called a linear combination of this vectors
(for the coefficient tuple ).