Lectures related to Linear Algebra: Applications and Algorithms

Linear Systems Resolution

Explores LU decomposition for solving linear systems and the associativity of operations.

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.

Spectral Decomposition and SVD

Explores spectral decomposition of symmetric matrices and Singular Value Decomposition (SVD) for matrix decomposition.

Singular Value Decomposition

Explores Singular Value Decomposition and its role in unsupervised learning and dimensionality reduction, emphasizing its properties and applications.

Matrix Inversion

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