Lecture

Pseudo-Euclidean Spaces: Isometries and Bases

Description

This lecture covers the concept of pseudo-Euclidean spaces, focusing on isometries and bases. It explains the properties of vector spaces equipped with non-degenerate quadratic forms, emphasizing the symmetric bilinear forms associated with them. The lecture also delves into the theorem of Sylvester, which states the existence of generalized bases.

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