Concept

Elimination theory

Related lectures (30)

Explains the Gaussian elimination algorithm with pivoting and LU factorization for linear systems.

Covers the basics of Gaussian elimination and the iterative steps involved in the process.

Covers methods to solve linear systems with a finite number of operations.

Covers the process of solving a linear system in numerical flow simulation using direct methods like Gaussian elimination and the TDMA algorithm.

Covers the principles of system equilibrium in 3D and the calculation of resultant forces and couples.

Introduces resultants in 3D, equilibrium in 2D, and free-body diagrams for structural analysis.

Explores matrix computation complexity, known algorithms, and structured solvers' impact.

Explores linear systems, Gaussian elimination, LU decomposition, and matrix types.

Covers the resolution of linear systems through the Gaussian elimination method.

Explores binary parity check codes, systematic generator matrix, and Gaussian elimination.

Covers systems of forces in 3D, equilibrium in 2D, system isolation, free-body diagrams, supports, and joints.

Explores applications of linear algebra in image and signal processing, and introduces algorithms like Gaussian elimination and LU decomposition.

Summarizes methods for resolving linear systems, including Gaussian elimination and LU decomposition.

Covers the resolution of linear systems, matrix operations, echelon forms, and reduced echelon forms.

Explains Gaussian elimination and LU factorization for solving linear systems of equations.

Covers the Gaussian elimination method for solving linear equations using row operations on matrices.

Covers direct methods for solving linear systems in numerical analysis.

Explains the Gaussian elimination method for transforming matrices into reduced row-echelon form using elementary row operations.

Covers exercises on matrices, vectors, and linear systems.

Explores systems of linear equations, elementary operations, augmented matrices, and Gaussian elimination algorithm.