Lecture

Linear Transformations: Kernels and Images

In course

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Description

This lecture covers the concepts of kernels and images of linear transformations between vector spaces, defining them as subspaces of the domain and codomain, respectively. The instructor explains the properties of kernels and images, illustrating them with examples and theorems. The lecture also discusses the criteria for an application to be linear and provides proofs to demonstrate that kernels and images are indeed vector subspaces.

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Official source

https://mediaspace.epfl.ch/media/0_ufjze3mh

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Analysis: Functional analysis

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