Lecture

Linear Algebra: The Rank Theorem

In course

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Description

This lecture covers additional exercises submission, a white test announcement, and the Rank Theorem in linear algebra. The Rank Theorem ensures that any family with more elements than a finite base will be dependent. It also states that any other base has the same number of vectors, called the dimension of the space. The lecture emphasizes the importance of understanding the dimension of a space and how to apply the Rank Theorem to simplify calculations and determine bases efficiently.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_tsje5kgj

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Analysis: Functional analysis

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