Show that if A is an m by n matrix with m < n
then the homogeneous system of linear equations
AX = 0 has a non-trivial solution.
Prove that if a vector space V can be spanned by a .nite set of vectors v1; : : : ; vn , then any
linearly independent set of vectors in V must be .nite and contains no more than n elements
(You can use (a) if you wish.
- 8 years agoFavorite Answer