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I remember that problem from my college linear algebra course! I found a nice simple proof for integers (which was very satisfying!) but afaik you do need heavy
by zem 4y ago
I remember that problem from my college linear algebra course! I found a nice simple proof for integers (which was very satisfying!) but afaik you do need heavy linear algebra machinery to generalise it to the reals.
- thaumasiotes 4y ago> I found a nice simple proof for integers (which was very satisfying!) But no such proof can exist because the claim is not true. When you posted your comment, Fetiorin had already given a counterexample.
- SideQuark 4y agoI was pulling the problem from memory. Add the requirement boths sides are same number of items.
- hgsgm 4y agoWhy doesn't the integer proof work on reals?
- zem 4y agoit relied on modular arithmetic