Lecture

Linear Applications: Matrices and Transformations

In course

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Description

This lecture covers the concepts of linear applications, matrices, injectivity, surjectivity, and the standard matrix of a linear application. It explains the standard matrix of a linear application, dilations, symmetries, transvections, and the multiplication of matrices. The lecture also delves into the properties of matrix multiplication, such as associativity, distributivity, and the unit element. It concludes with examples illustrating the concepts discussed.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_knxf07ro

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Logic

Classical logic: First-order logic

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