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Definition: Symmetric Bilinear Form
Let \(V\) be a vector space over a field \(F\). A bilinear form \(\left\langle ,\right\rangle \) on \(V\) is called symmetric, if
\[\left\langle v,w\right\rangle =\left\langle w,v\right\rangle \,\]
for all \(v,w\in V\).
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References
Adapted from CC BYSA 3.0 Sources:
 Brenner, Prof. Dr. rer. nat., Holger: Various courses at the University of OsnabrÃ¼ck