Gaussian Elimination: Basics

Related lectures (27)

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Covers direct methods for solving linear systems in numerical analysis.

Explains the Jacobi and Gauss-Seidel methods for solving linear systems iteratively.

Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.

Explores the properties of invertible matrices, including unique solutions and linear independence.

Covers linear systems, diagonal and triangular matrices, and LU factorization.

Covers the definition and properties of determinants, including the rule of Sarrus for 3x3 matrices.

Covers matrix operations, focusing on the product and inverse of matrices.

Explores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.

Covers matrix operations, including multiplication, transposition, powers, and inverses, and explains how to determine if a matrix is invertible.