Linear Algebra: Bases and Spaces

In course

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Description

This lecture covers the concepts of linear independence, bases, and spaces in linear algebra. It explains how to determine bases of kernels and images of matrices, emphasizing the importance of pivot columns. The lecture also delves into the relationship between kernel and image spaces, providing examples and theorems to illustrate key concepts.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_vi2j6pia

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra, Abstract algebra, Representation theory

Analysis: Functional analysis, Tensor analysis

Geometry: Euclidean geometry

Information engineering

Natural language processing: Topics in natural language processing

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