If we have a $n$ linear equations and $m$ unknowns, what are the possibilities for the dimension of the solution space when $n > m$ and when $n < m$ for a homogeneous system of equations? How do I approach this problem? I know it has something to do with the rank-nullity theorem.
2026-04-29 18:04:06.1777485846
Possibilities of the dimension of the solution space
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