Lecture
Eigenvalues and Eigenvectors in 3D
Description
This lecture covers the concept of eigenvalues and eigenvectors in three-dimensional linear algebra. It explains the characteristic polynomial of a linear transformation, the definition of eigenvalues, and how to find eigenvectors. The lecture also discusses the stability of vectors under linear transformations and the implications of having real roots in the characteristic polynomial.
Official source
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
Related lectures (168)
Characteristic Polynomials and Similar Matrices
Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.
Matrix Similarity and Diagonalization
Explores matrix similarity, diagonalization, characteristic polynomials, eigenvalues, and eigenvectors in linear algebra.
Diagonalization of Matrices
Explores the diagonalization of matrices through eigenvectors and eigenvalues.
Diagonalization of Matrices
Explores the diagonalization of matrices through eigenvalues and eigenvectors, emphasizing the importance of bases and subspaces.
Diagonalizability of Matrices
Explores the diagonalizability of matrices through eigenvectors and eigenvalues, emphasizing their importance and practical implications.