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Lecture
Direct Methods for Linear Systems
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Related lectures (27)
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Matrix Construction and Function Manipulation
Covers tips on matrix construction and function manipulation using MATLAB.
Linear Systems: Direct Methods
Explores linear systems, Gaussian elimination, LU decomposition, and matrix types.
Singular Value Decomposition: Applications and Interpretation
Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.
Finite Difference Methods: Linear Systems and Band Matrices
Covers the application of finite difference methods to solve partial differential equations.
Eigen Library for Linear Algebra
Explores the Eigen library for linear algebra, covering vectors, matrices, arrays, memory management, reshaping, and per-component operations.
Matlab: Interactive Mode and Project Steps
Introduces Matlab basics, error handling, and billiards project concepts.
Direct Methods for Solving Linear Equations
Explores direct methods for solving linear equations, LU factorization, Gass elimination, and computational complexity.
Linear Systems: Diagonal and Triangular Matrices, LU Factorization
Covers linear systems, diagonal and triangular matrices, and LU factorization.
Jacobi and Gauss-Seidel methods
Explains the Jacobi and Gauss-Seidel methods for solving linear systems iteratively.
Characterization of Invertible Matrices
Explores the properties of invertible matrices, including unique solutions and linear independence.