Lecture

Matrix solutions: infinite possibilities

In course

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Description

This lecture explores the concept of matrix solutions, specifically focusing on the scenario where a matrix A of size mxn with m < n always has infinite solutions for the equation Ax = Ac, for any choice of c in the real numbers. The lecture delves into the implications of this property and provides insights into the dimensions of the kernel of A, highlighting the relationship between the rank and the kernel dimensions.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_9ehzq9yr

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

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