Linear Transformations: Matrices and Applications

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (44)

Representation Parametric: Cartesian Log in to Mediaspace to watch this video

Covers parametric to Cartesian representation, linear independence, bases, linear transformations, and linear applications.

Matrix Operations: Linear Systems and Solutions Log in to Mediaspace to watch this video

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Linear Algebra: Matrices and Vector Spaces Log in to Mediaspace to watch this video

Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.

Explores matrix similarity, diagonalization, characteristic polynomials, eigenvalues, and eigenvectors in linear algebra.

Singular Value Decomposition: Applications and Interpretation Log in to Mediaspace to watch this video

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.

Eigen Library for Linear Algebra Log in to Mediaspace to watch this video

Explores the Eigen library for linear algebra, covering vectors, matrices, arrays, memory management, reshaping, and per-component operations.

Linear Mapping Basics Log in to Mediaspace to watch this video

Covers the basics of linear mapping and coordinate systems.

Eigenvalues and Eigenvectors Log in to Mediaspace to watch this video

Covers eigenvalues, eigenvectors, and matrix similarity for dynamic systems.

Orthogonality and Least Squares Method Log in to Mediaspace to watch this video

Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.

Convex Optimization: Notation and Matrix Norms Log in to Mediaspace to watch this video

Introduces Convex Optimization notation, convex functions, vector norms, and matrix properties.

Kernel, Image and Linear Maps Log in to Mediaspace to watch this video

Explains kernel, image, and linear maps, illustrating concepts with examples.

Algebraic Structures: Fields and Vectorial Spaces Log in to Mediaspace to watch this video

Covers prime numbers, vectors, 3D geometry, crystallography, and algebraic structures in materials science.

Traces: Definition and Properties Log in to Mediaspace to watch this video

Explores the definition and properties of traces in functional analysis, emphasizing uniqueness and linear operators.

Transformations and Inversions: Laplace and Fourier Log in to Mediaspace to watch this video

Discusses Laplace and Fourier transformations, focusing on their inversion formulas and applications in solving differential equations.

Singular Value Decomposition Log in to Mediaspace to watch this video

Covers the Singular Value Decomposition (SVD) of a matrix and its applications.

Position Vector: Precision and Decomposition Log in to Mediaspace to watch this video

Explains the concept of position vectors and their decomposition for precise location determination.

Electromagnetism: UNIL-208 Log in to Mediaspace to watch this video

Introduces the basics of electromagnetism, covering derivatives, vector calculus, scalar and vector products, and their applications in physics and engineering.

Determinants: Cofactors and Matrix Operations Log in to Mediaspace to watch this video