Lecture

Polynomial Characteristic: Definition, Properties, and Applications

Description

This lecture covers the definition of the characteristic polynomial of a matrix, its properties, and applications. It explains how to calculate the characteristic polynomial, its relation to the determinant and trace of the matrix, and its invariance under conjugation. The lecture also discusses the concept of eigenvalues and eigenvectors, the decomposition of a matrix into blocks, and the stability of subspaces under linear transformations.

Instructors (2)

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Official source

https://mediaspace.epfl.ch/media/0_gqdj3yvj

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

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