Lectures related to Matrix Equations: Solutions and Properties

Explores asymptotic states, S-matrix, Lippmann-Schwinger equation, and energy robustness in quantum field theory.

Explores the diagonalization of symmetric matrices through orthogonal decomposition and the spectral theorem.

Covers the definitions and properties of matrices, including matrix operations and determinants.

Introduces the Gauss-Jordan method for solving linear equations and explores unique solutions and efficiency comparisons.

Explains the concept of least squares solutions and their application in finding the closest solution to a system of equations.

Covers matrix inversion and uniqueness in linear algebra, providing examples and verification methods.

Covers the factorization of a matrix and the least squares method.

Covers matrix multiplication, properties, and inverses in linear algebra.