Lecture

Linear Algebra: Decomposition Theorems

In course

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Description

This lecture covers the proof of the primary decomposition theorem for endomorphisms of finite-dimensional vector spaces, showing the properties of invariant subspaces and nilpotent endomorphisms. It also explains the spectral polynomial and the concept of generalized eigenvectors.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_ha0iltzx

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Analysis: Functional analysis

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