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Lecture
The Simplex Algorithm
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Related lectures (27)
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Singular Value Decomposition: Applications and Interpretation
Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.
Characteristic Polynomials and Similar Matrices
Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.
Optimal Decision Making: The Simplex Method
Introduces the Simplex Method for optimal decision making in linear programming, covering basic and advanced concepts.
Linear Algebra: Matrix Operations
Explores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.
Matrix Row Rank and Column Rank
Explores the equality of row spaces for equivalent row matrices and the determination of row ranks.
Linear Algebra: Reduction of Linear Application
Covers the reduction of a linear application and finding corresponding reduced forms and bases.
Characterization of Invertible Matrices
Explores the properties of invertible matrices, including unique solutions and linear independence.
Matrix Operations: LU Factorization & Linear Independence
Covers LU factorization, linear independence, and matrix equations.
Row-echelon and reduced row-echelon matrices
Explains row-echelon and reduced row-echelon matrices and their role in simplifying system resolution.
Matrix Operations: Rank and Inclusion in Vector Spaces
Explores matrix rank and vector space inclusion through elementary row operations.