Lecture

Cayley-Hamilton Theorem

Description

This lecture covers the Cayley-Hamilton theorem, which states that every square matrix satisfies its own characteristic equation. The proof involves using the matrix's trace and determinant. The lecture also demonstrates the validity of introduced processes and discusses specific cases. The lecture concludes by showing the non-proportionality of certain vectors and their representation in different bases.

Official source

https://mediaspace.epfl.ch/media/0_h0059dxs

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