Cayley-Hamilton Theorem

In course

Description

This lecture covers the Cayley-Hamilton Theorem, stating that for a linear operator on a vector space, its characteristic polynomial satisfies its own equation. The proof involves showing that the operator raised to its dimension equals zero. The lecture also explores the implications of the theorem in terms of matrix polynomials and invertibility criteria.

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Official source

https://mediaspace.epfl.ch/media/0_gemxb567

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