Lecture

Linear Applications 3x3: Kernel and Preimage

Description

This lecture covers the concepts of kernel and preimage of a linear application in a 3x3 matrix, defining them as the set of antecedents and the set of solutions of a system of equations, respectively. It also explores the properties of the kernel, showing it as a subspace of R³ and highlighting its stability under scalar multiplication and addition. Additionally, it presents a proposition regarding the kernel being a subspace of P³ and discusses the two possible cases when a certain condition is met.

Official source

https://mediaspace.epfl.ch/media/0_m6egdxjw

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

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