Lecture

Linear Transformations: Isomorphism and Dimension

Description

This lecture covers the concepts of isomorphism, dimension, bases, and rank in the context of linear transformations between vector spaces. It explains the properties of isomorphisms, the dimension of vector spaces, the concept of bases, and the rank of matrices. The lecture also delves into the relationship between the dimensions of the kernel and the image of a linear transformation, as well as the equivalence of properties related to matrices.

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Official source

https://mediaspace.epfl.ch/media/0_dz7mrnew

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra, Abstract algebra

Analysis: Functional analysis

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