advanced-linear-algebra
The exchange lemma
taught
A spanning set is never shorter than an independent set -- the fact that makes dimension a well-defined number.
Taught in
-
The exchange lemma and why dimension is well-defined
Advanced Linear Algebra
Requires
- basis required
Required by
- Annihilators and dimension required
- Dual bases required
- Sums of subspaces and the dimension formula required
Local knowledge map
Local knowledge map
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