Lecture

Linear Algebra: Matrix Decomposition and Base Change

Related lectures (34)
Characteristic Polynomials and Similar Matrices
Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.
Matrix Representations of Linear Applications
Covers matrix representations of linear applications in R³ and the invariance of rank.
Linear Applications: Vectorial Structure
Explores the vectorial structure of linear applications, including addition, scalar multiplication, and matrix representation.
Matrix Similarity and Diagonalization
Explores matrix similarity, diagonalization, characteristic polynomials, eigenvalues, and eigenvectors in linear algebra.
Matrix Representations of Linear Applications
Explores matrix representations of linear applications, including change of basis and invariants.
Linear Algebra: Matrix Representation
Explores linear applications in R² and matrix representation, including basis, operations, and geometric interpretation of transformations.
Diagonalization of Matrices
Explores the diagonalization of matrices through eigenvectors and eigenvalues.
Linear Applications Overview
Explores linear applications, vector spaces, kernels, and invertibility in linear algebra.
Singular Value Decomposition: Applications and Interpretation
Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.
Linear Applications Overview
Covers the definition of linear applications and their properties, including examples and matrix representation.

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.