Types: Not Applicable
Examples: Not Applicable
Constructions: Not Applicable
Generalizations: Not Applicable
Properties: Not Applicable
Sufficiencies: Not Applicable
Equivalences: Not Applicable
Justifications: Not Applicable
Subspace of
A nonempty subset
is a vector subspace if it is closed under addition and closed under multiplication by scalars; that is, is a vector subspace if when
Remark: To be closed under multiplication, a subspace must contain the zero vector, so that if