Matrix Factorization: LU Decomposition

Related lectures (28)

Page 2 of 3

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

Covers the decomposition of matrices into triangular blocks and spectral decomposition.

Explores operations with triangular matrices and their role in solving linear systems.

Explores LU decomposition for matrix factorization and solving linear systems.

Covers the Choleski factorisation method for solving linear systems efficiently.

Explores matrix inversion, conditions for invertibility, uniqueness of the inverse, and elementary matrices for inversion.

Explores properties of orthogonal and triangular matrices with linearly independent columns and their mathematical operations.

Covers the construction of an iterative method for linear systems, emphasizing matrix decomposition and convexity.

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

Explores LU decomposition of a matrix into lower and upper triangular matrices.