Advanced Matrix Theory and Linear Algebra for Engineers
Comprehensive exploration of advanced linear algebra concepts for engineers, covering vector spaces, transformations, orthogonality, diagonalization, and singular value decomposition.
Linear Algebra
In this course, you will learn systems of linear equations, Matrices, Elementary row operations, Row-reduced echelon matrices. Vector spaces, Subspaces, Bases and dimension, Ordered bases and coordinates.
Basic Linear Algebra
Linear Algebra is a basic course for students intended to go for Engineering studies and higher studies in Mathematics. We will cover the basic tools needed in these branches.
Linear Algebra
Comprehensive exploration of linear algebra concepts, from basic operations to advanced topics like eigenvalues, with practical applications and problem-solving techniques.
Differential Calculus in Several Variables
This is part of a standard course contents in Several Variable Calculus. The idea of the course is to provide students with different backgrounds a common platform to take up further topics in Mathematics, Physics and Engineering.
Linear Algebra
The main purpose of this course is the study of linear operators on finite dimensional vector spaces. The idea is to emphasize the simple geometric notions common to many parts of mathematics and its applications.
Linear Transformations
Explora transformaciones lineales, independencia lineal, teoremas clave y aplicaciones prácticas en álgebra lineal.
Linear Equations
Aprende sobre eliminación gaussiana, independencia lineal, transformaciones lineales y matrices de rotación en 1.5 horas.
Advanced Matrix Theory and Linear Algebra for Engineers
Comprehensive exploration of advanced linear algebra concepts for engineers, covering vector spaces, transformations, orthogonality, diagonalization, and singular value decomposition.
Transformations of Random Variables
Explore linear transformations, sums, and monotone functions in random variables, enhancing your understanding of probability theory and statistical analysis.
Linear Algebra
Comprehensive exploration of linear algebra concepts, from matrices and vector spaces to eigenvalues and transformations, with practical applications and in-depth explanations.
Linear Algebra for Quantum Mechanics
Explore essential linear algebra concepts for quantum mechanics, including linear transformations, eigenvectors, and Hermitian operators, enhancing your understanding of mathematical formalism in quantum physics.
Transformations - Composability and Linearity in Computational Thinking - Lecture 4
Explore composability and linearity in transformations, focusing on image processing applications and advanced Julia programming techniques for vector-valued functions and linear/nonlinear transformations.
Transformations and Automatic Differentiation in Computational Thinking - Lecture 3
Explore transformations and automatic differentiation in Julia, covering linear and non-linear transformations, function types, and applications in machine learning, with practical examples and visualizations.
Arrays and Matrices II - Data Structures in Mathematics Math Foundations
Explore matrices from traditional linear algebra to a novel data structure approach. Learn matrix multiplication, algebra, and a new perspective using pixels and maxels.
Rational Trigonometry, Generalized Triangle Geometry and Four-Fold Incenter Symmetry
Explores rational trigonometry and generalized triangle geometry, introducing quadrances, spreads, and chromogeometry. Discusses Euler lines, incenters, and various triangle centers, culminating in a novel result on colored incenters.
Solving a System of Linear Equations - Wild Linear Algebra A
Explore systems of linear equations, matrix forms, row reduction, and echelon forms. Learn key concepts and techniques for solving complex linear algebra problems efficiently.
Generalized Dilations and Eigenvalues - Wild Linear Algebra A - NJ Wildberger
Explore coordinate systems, basis changes, and similar matrices in linear algebra. Learn about generalized dilations and the fundamental concept of eigenvalues and eigenvectors.
Applications of 3x3 Matrices - Wild Linear Algebra A
Explore 3x3 matrices and their applications in 3D space, covering dilations, reflections, rotations, and projections. Learn key concepts and formulas for linear transformations in three dimensions.
More Applications of 2x2 Matrices - Wild Linear Algebra A
Explores advanced applications of 2x2 matrices in linear algebra, covering rotations, reflections, composition of transformations, and connections to calculus, with a focus on linear approximations and derivatives.
Linear Algebra With Polynomials - Wild Linear Algebra A
Explore polynomials in linear algebra, covering interpolation, regression, and isomorphism. Learn to apply geometric approaches to transformations and connect polynomial spaces with vector spaces.