Lecture

Linear Algebra: Integers

In course

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Description

This lecture covers the topic of linear algebra over integers, focusing on finding solutions to equations of the form A.x=b where A is a matrix and x, b are vectors. The instructor explains the concept of Hermite normal form and demonstrates elementary row operations such as multiplying a column by a constant and exchanging two columns. The lecture also discusses the uniqueness of solutions and provides examples to illustrate the theoretical concepts.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_133xsc05

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra, Abstract algebra

Analysis: Numerical analysis

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