Lecture

Dimension of Vector Subspace Sum

Description

This lecture covers the dimension of a sum of vector subspaces in a vector space. The instructor explains the theorem for the dimension of the sum of two finite-dimensional subspaces. The proof involves defining bases and showing that the sum of the dimensions is equal to the sum of the individual dimensions minus the dimension of their intersection. Various examples and corollaries are presented to illustrate the concept.

In MOOCs (9)

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_52193txk

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Analysis: Functional analysis

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