Lecture

Eigenvalues and Eigenvectors: Understanding Matrix Transformations

In course

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Description

This lecture introduces the concepts of eigenvalues and eigenvectors, focusing on how they relate to matrix transformations. The instructor explains how to determine eigenvalues by solving the characteristic equation and find the associated eigenvectors by calculating the null space of the matrix A minus lambda times the identity matrix. Through examples and calculations, students learn how eigenvalues and eigenvectors play a crucial role in understanding and analyzing various mathematical and real-world systems.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_u4guyvhe

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