(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove whether or not a field F has just two subspaces: {0} and F itself.

2. The attempt at a solution

I'm not exactly sure where to start. I believe it's true but I don't know how to prove that F hasonlytwo subspaces. I tried doing proof by contradiction (ie. supposing there was a third subspace for F), but I don't know where I can go with that.

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# Homework Help: Field/Subspace Proof

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