Ok, so I have the set S={cosx^2, sinx^2, cos(2x)} that spans V.(adsbygoogle = window.adsbygoogle || []).push({});

So obviously this is not a basis. Because the third is a linear combination of the first; ie. cosx^2-sinx^2=cos(2x). But if I were to take the first 2 vectors, would they span V? That is does the equation a(cosx^2)+b(sinx^2)=0 imply a=0& b=0?

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# Making a set a basis

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