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The Simplex Algorithm
Covers the Simplex Algorithm, explaining optimality, unbounded costs, and degenerate problems.
Gaussian Elimination Method
Explains the Gaussian elimination method for solving linear equations through row operations and pivoting.
Row-echelon and reduced row-echelon matrices
Explains row-echelon and reduced row-echelon matrices and their role in simplifying system resolution.
Linear Applications: Bases and Dependencies
Explores forming bases, dependencies, and relationships in linear applications using invertible matrices and canonical bases.
Untitled
Solving Systems of Equations with Parameters
Explores solving systems of equations with parameters using matrices and Gaussian elimination.
Linear Transformations: Matrices and Applications
Covers linear transformations using matrices, focusing on linearity, image, and kernel.
Linear Systems: LU Factorization with Pivoting
Explains the Gaussian elimination algorithm with pivoting and LU factorization for linear systems.
Matrix Operations: Elementary Transformations
Covers elementary transformations of matrices and the concept of line-equivalence.
Linear Algebra: Associated Matrix and Subspaces
Explores the associated matrix of a linear map, basis formation, and space relationships.