Authorship: the document is linked as the bilinear-forms supplement from sites.math.rutgers.edu/~weibel/.
Cited passages: printed p. 2, classification of symmetric bilinear forms over an algebraically closed field; printed pp. 2–3, real diagonalization and Sylvester's law of inertia. The Witt-group examples in the wiki are deductions from these classifications, with the cancellation argument given explicitly.

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