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

Determine whether the following set is linearly independent in P_{4}

{1+(x^{2}/2) , 1-(x^{2}/2) , x+(x^{3}/6) , x+(x^{3}/6)}

2. Relevant equations

3. The attempt at a solution

Well I know that if any of the entries in the set can be written as the linear combination of the others, then the set is NOT linearly independent. But how can I show this without just trying to put together random combinations hoping to find one that results in another entry in the set?

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# Homework Help: Linear Inependence in polynomial space

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