Lecture

Linear Algebra: Image and Kernel Revisited

Description

This lecture revisits the concepts of bases of the image and kernel in linear algebra, focusing on applications of linear transformations between finite-dimensional vector spaces. It covers topics such as writing matrices in terms of bases, finding bases of solution sets, determining bases of column spaces, and analyzing injectivity and surjectivity of linear transformations. The lecture also includes examples and propositions related to bases, column spaces, and solution sets of linear systems.

Official source

https://mediaspace.epfl.ch/media/0_4u0rqnm1

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