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#Gaussian Elimination

Showing: 20 courses
Cal Poly Pomona

Numerical Modeling

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Learn to solve linear and nonlinear algebraic equations using various numerical methods and MATLAB, including Gaussian elimination, Newton-Raphson, and secant methods for practical engineering applications.
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15 Lesons
1 hour 30 minutes
On-Demand
Free-Video

Linear Equations

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Explore fundamental concepts of linear algebra, including matrices, rank, factorization, and Gaussian elimination, to solve complex systems of equations and understand vector spaces.
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22 Lesons
4 hours 30 minutes
On-Demand
Free-Video

Linear Equations

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Aprende sobre eliminación gaussiana, independencia lineal, transformaciones lineales y matrices de rotación en 1.5 horas.
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12 Lesons
1 hour 30 minutes
On-Demand
Free-Video
blackpenredpen

Big Integrals - No Shortcuts

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Comprehensive exploration of complex integration techniques, covering a wide range of challenging integrals without relying on shortcuts or simplifications.
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15 Lesons
4 hours 30 minutes
On-Demand
Free-Video

Linear Algebra

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Comprehensive exploration of linear algebra concepts, from basic equations to advanced topics like eigenvalues and singular value decomposition, with practical applications and proofs.
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40 Lesons
7 hours
On-Demand
Free-Video
The Organic Chemistry Tutor

Gaussian Elimination & Row Echelon Form

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Learn Gaussian elimination to solve 3x3 linear equation systems using matrix operations. Convert to augmented matrices, apply row operations, and use back substitution to find solutions.
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5 Lesons
19 minutes
On-Demand
Free-Video
Insights into Mathematics

Applications of Row Reduction - Gaussian Elimination I - Wild Linear Algebra A - NJ Wildberger

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Explores row reduction applications in linear algebra: inverting matrices, finding eigenvalues/eigenvectors, and calculating determinants. Includes examples and exercises for practical understanding.
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22 Lesons
42 minutes
On-Demand
Free-Video
NIOS

Numerical Methods

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Comprehensive exploration of numerical methods covering error analysis, linear systems, interpolation, differentiation, integration, and solving algebraic equations using various techniques.
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37 Lesons
1 day 6 hours
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Factorization-based Sparse Solvers and Preconditioners - Lecture 3

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Explore factorization-based sparse solvers and preconditioners, covering topics like minimum degree ordering, numerical pivoting, and sparse Gaussian elimination techniques.
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21 Lesons
1 hour 39 minutes
On-Demand
Free-Video
Insights into Mathematics

Integral Row Reduction and Hermite Normal Form - Math Foundations 223

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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.
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1 Lesons
44 minutes
On-Demand
Free-Video
Insights into Mathematics

Bases and Dimension for Integral Linear Spaces - Math Foundations 222

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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.
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1 Lesons
45 minutes
On-Demand
Free-Video
Wrath of Math

Describing Solution Sets from Row Echelon Form - Linear Algebra Examples

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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.
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5 Lesons
10 minutes
On-Demand
Free-Video
Wrath of Math

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

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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.
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6 Lesons
10 minutes
On-Demand
Free-Video
Wrath of Math

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

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Learn row echelon and reduced row echelon forms of matrices. Master Gaussian and Gauss-Jordan elimination techniques for solving linear equations using augmented matrices.
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6 Lesons
12 minutes
On-Demand
Free-Video
Wrath of Math

LU-Decomposition of a Matrix - Linear Algebra Explained

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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.
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9 Lesons
21 minutes
On-Demand
Free-Video
Dr Trefor Bazett

The Gaussian Algorithm Visualized: Geometric Interpretation and Linear Transformations

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Visualize the Gaussian algorithm's geometric meaning in linear algebra, exploring plane rotations and linear transformations to simplify systems of equations.
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8 Lesons
14 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Rank of a Matrix - Lecture 6.2

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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.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Row Operations - Lecture 6.1

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Explore row operations in linear algebra, learning techniques for manipulating matrices and solving systems of equations.
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1 Lesons
33 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Sums, Direct Sums and Gaussian Elimination

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Learn about sums, direct sums, and Gaussian elimination in linear algebra. Explore fundamental concepts and techniques for solving systems of linear equations efficiently.
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1 Lesons
45 minutes
On-Demand
Free-Video
Simons Institute

Construction and Decoding of Short Codes

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Explore advanced techniques for constructing and decoding short-length codes, including staircase matrix codes, ordered statistic decoding, and innovative algorithms for polar codes.
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1 Lesons
43 minutes
On-Demand
Free-Video