Lecture

Principal Axes Theorem

Description

This lecture covers the Principal Axes Theorem in linear algebra, where for a symmetric matrix A and its associated quadratic form Q, there exists an orthogonal matrix P such that P^TAP is diagonal. The columns of P form an orthonormal basis called the principal axes of Q.

In MOOCs (9)

Instructor

elit nisi est

Laborum ad aute quis in consequat adipisicing esse fugiat excepteur tempor excepteur commodo eu nostrud. Irure anim eiusmod officia qui mollit. Do ad laboris laborum enim sint duis ex magna aliquip.

Official source

https://mediaspace.epfl.ch/media/0_026j4csq

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Related lectures (51)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.