Definition
Basis Selection Lemma
Let
be a basis of a vector space and let be a linear combination with
for some . Then the exchanged set is also a basis of
. In particular, is linearly independent and , where denotes the linear span.
Basis Selection Lemma
Let
be a basis of a vector space and let be a linear combination with
for some . Then the exchanged set is also a basis of
. In particular, is linearly independent and , where denotes the linear span.