Lecture

Vectors and Tensors: Mathematical Preliminaries and Spectral Decomposition

In course

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Description

This lecture covers mathematical preliminaries related to eigenvectors and eigenvalues, emphasizing the spectral decomposition of matrices. It also discusses vector and tensor fields, including quantities varying with spatial position and the need for spatial and time derivatives. The lecture further explores the orthogonality of eigenvectors and the representation of matrices in a basis set aligned with the eigenvectors.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_q9ihglq1

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

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