Given the vector space consisting of all bilinear forms of a vector space V (let's call it B) it's very easy to prove that B is the direct sum of two subspaces, the subspace of symmetric and the subspace of skew symmetric bilinear forms. How would one go about determining the dimension of these spaces without any definition of bases? Or is that the only way to go about it?(adsbygoogle = window.adsbygoogle || []).push({});

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# Dimension of symmetric and skew symmetric bilinear forms

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