Lecture

Matrix Operations: Rank and Inclusion in Vector Spaces

Description

This lecture covers the concept of matrix rank and its relation to vector space inclusion. The instructor explains how to determine if a given vector belongs to the image of a matrix by comparing ranks. The lecture also includes a review of elementary row operations and their application to matrices. By analyzing the rank of matrices and applying elementary operations, students learn to determine vector space inclusion and solve related problems.

In MOOCs (9)

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_7pttskqg

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Analysis: Functional analysis

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