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Related lectures (31)
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Matrix Operations: Definitions and Properties
Covers matrix operations, definitions, properties, and vector operations in Rn, essential for understanding linear algebra concepts.
Matrix Operations: Row Echelon Form
Covers the process of row echelon form by performing various operations on matrices.
Matrix Transformations: Elementary Row Operations
Covers elementary row operations, row-equivalent matrices, row-echelon form, Gauss method, uniqueness of reduced form, and matrix rank.
Linear Systems: Direct Methods
Explores linear systems, Gaussian elimination, LU decomposition, and matrix types.
Gaussian Elimination: Basics
Covers the basics of Gaussian elimination and the iterative steps involved in the process.
Gauss-Jordan Reduction Method
Explains the Gauss-Jordan reduction method for solving linear equations using augmented matrices.
Linear Equations and Matrices
Explores linear equations, matrices, and the Gauss-Jordan algorithm for efficient system solving.
Linear Systems Resolution
Covers methods to solve linear systems with a finite number of operations.
Factorisation LU
Explains Gaussian elimination and LU factorization for solving linear systems of equations.
Determinants and Row Echelon Form
Covers determinants, row echelon form, properties, and geometric interpretation of determinants.