Prove the Cauchy-Schwartz inequality |<u, v>| <= |u| |v|. (<= means less than or equal to)
I attempted it a couple times, but didn't get anywhere. Help would be great, thanks.
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The complete proof is there : Cauchy?Schwarz inequality - Wikipedia, the free encyclopedia.
I've seen that already, but I couldn't understand it all that well.
Please post an attempt at a solution or clarify what you don't understand in the proof provided (preferrably the former).
If then we have the equality, so there's nothing to prove there. Thus let's take care about the interesting case when it's
Under this assumption, put and then
From here we have Hence,
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