Lectures related to QR Factorization: Least Squares System Resolution

Explores the Cholesky factorization method for symmetric positive definite matrices.

Explains how to solve linear equations using the least squares method to minimize errors in the system.

Explains the method of least squares in linear regression to find the best-fitting line to a set of data points.

Explains orthogonal projection and vector decomposition with examples in particle trajectory analysis.

Explores Singular Value Decomposition, low-rank approximation, fundamental subspaces, and matrix norms.

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