Lectures related to Linear Algebra: Matrices and Operations

Covers the basics of linear algebra, including matrix operations and singular value decomposition.

Covers matrix invertibility, determining if a matrix is invertible, calculating its inverse, and elementary matrices.

Explores matrix equivalence theorems for systems of equations and least squares solutions.

Covers matrix calculus, including determinants, matrix inversion, and solutions to systems of linear equations.

Explains how to find free variables in matrix equations and analyze characteristic polynomials.

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