Lecture

Subspaces, Spectra, and Projections

In course

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Description

This lecture covers the concepts of subspaces, spectra, and projections in linear algebra. It explains the column space, null space, and orthogonal complement of a matrix, as well as the Spectral Theorem and Singular Value Decomposition. The properties of symmetric matrices, eigenvalues, eigenvectors, and orthogonal projections onto subspaces are discussed in detail.

Instructors (2)

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Official source

https://mediaspace.epfl.ch/media/0_26nm1al6

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Analysis: Functional analysis

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