Any basis, for a vector space of dimension n, has three properties:
1) The vectors span the space.
2) The vectors are independent.
3) There are n vectors in the set.
Further, any two of those is sufficient to prove the third.
Any basis, for a vector space of dimension n, has three properties:
1) The vectors span the space.
2) The vectors are independent.
3) There are n vectors in the set.
Further, any two of those is sufficient to prove the third.