Gaussian Elimination Courses and Certifications

Insights into Mathematics

Geometric Linear Algebra

Discover a visual approach to linear algebra emphasizing geometry, logic, and exact arithmetic through vectors, matrices, transformations, and applications to physics and geometry.

• YouTube
• 1 day 9 hours 34 minutes
• On-Demand
• Free Video

Wrath of Math

Linear Algebra Exercises - Practice Problems and Solutions

Enhance your knowledge of linear algebra through comprehensive exercises covering matrices, transformations, eigenvalues, and vector spaces with detailed solutions.

• YouTube
• 7 hours 56 minutes
• On-Demand
• Free Video

Elimination and Factorization A = CR

Explore the concept of matrix rank and row echelon form, understanding how the matrix F reveals bases for row space and nullspace, leading to the column-row factorization A = CR.

• YouTube
• 37 minutes
• On-Demand
• Free Video

Insights into Mathematics

Integral Row Reduction and Hermite Normal Form - Math Foundations 223

Explores integral row reduction algorithm for finding a basis of integral linear space, paralleling Euclid's algorithm. Introduces Hermite normal form for msets of vexels in abstract algebra context.

• YouTube
• 44 minutes
• On-Demand
• Free Video

Insights into Mathematics

Bases and Dimension for Integral Linear Spaces - Math Foundations 222

Explores algorithm for finding simplified bases of integral linear spaces, adapting Gaussian elimination to work with integral combinations. Introduces key concepts in abstract algebra through practical computation.

• YouTube
• 45 minutes
• On-Demand
• Free Video

Society for Industrial and Applied Mathematics

Factorization-based Sparse Solvers and Preconditioners - Lecture 3

Explore factorization-based sparse solvers and preconditioners, covering topics like minimum degree ordering, numerical pivoting, and sparse Gaussian elimination techniques.

• YouTube
• 1 hour 39 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

Rank of a Matrix - Lecture 6.2

Explore the concept of matrix rank, its properties, and applications in linear algebra. Learn methods for determining rank and its significance in solving systems of equations.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

Row Operations - Lecture 6.1

Explore row operations in linear algebra, learning techniques for manipulating matrices and solving systems of equations.

• YouTube
• 33 minutes
• On-Demand
• Free Video

Analyse numérique pour ingénieurs

109 ratings at Coursera

Méthodes numériques pour ingénieurs : interpolation, dérivation, intégration, systèmes linéaires et non-linéaires, équations différentielles. Approche pratique avec MATLAB/Octave et exercices théoriques.

• Coursera
• 37 hours
• On-Demand
• Paid Course

Wrath of Math

LU-Decomposition of a Matrix - Linear Algebra Explained

Explore LU-Decomposition in linear algebra: definition, applications for solving systems, step-by-step process, and examples. Master this powerful technique for efficient matrix analysis.

• YouTube
• 21 minutes
• On-Demand
• Free Video

Wrath of Math

Reduced and Row Echelon Form of a Matrix - Linear Algebra Exercises

Learn row echelon and reduced row echelon forms of matrices. Master Gaussian and Gauss-Jordan elimination techniques for solving linear equations using augmented matrices.

• YouTube
• 12 minutes
• On-Demand
• Free Video

Wrath of Math

Describing Solution Sets from Row Echelon Form - Linear Algebra Examples

Learn to describe solution sets for linear equation systems using row echelon form matrices. Assign parameters to free variables and solve for leading variables to express complete solution sets.

• YouTube
• 10 minutes
• On-Demand
• Free Video

Wrath of Math

Linear Systems Using Row Operations and Back Substitution - Linear Algebra Exercises

Learn to solve linear systems using Gaussian elimination, including row operations and back substitution. Covers unique and infinite solution cases with clear examples and step-by-step explanations.

• YouTube
• 10 minutes
• On-Demand
• Free Video

Ember Learning Labs

Solving 2x2 Systems in Algebra 2 - October 8, 2024

Master essential techniques for solving 2x2 systems of equations in algebra, building foundational mathematical skills for advanced problem-solving and mathematical analysis.

• YouTube
• 31 minutes
• On-Demand
• Free Video

Ember Learning Labs

Solving Systems in Three Variables - Algebra 2

Master essential techniques for solving three-variable systems in algebra, including step-by-step methods for finding unique solutions and analyzing mathematical relationships.

• YouTube
• 18 minutes
• On-Demand
• Free Video