Lectures related to Optical Interference: Matrix Approach

Matrix Operations: Rules and Applications

Covers matrix operations, including multiplication, transposition, powers, and inverses, and explains how to determine if a matrix is invertible.

Interferometry and Coherence

Explores coherence and interferometry principles, including statistical optics, autocorrelation functions, and optical coherence tomography applications.

Matrix Multiplication: Applications and Properties

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

Symmetric Matrices and Quadratic Forms

Explores symmetric matrices, diagonalization, and quadratic forms properties.

Matrices and Quadratic Forms: Key Concepts in Linear Algebra

Provides an overview of symmetric matrices, quadratic forms, and their applications in linear algebra and analysis.

Determinants: Triangular Matrices and Efficient Calculations

Explores efficient determinant calculations using triangular matrices and specific row/column selections for simplification.

Vector Subspaces in R4

Explores vector subspaces in R4, symmetric matrices, basis vectors, and canonical forms.

Square Matrices: Invertible, Triangular, Diagonal

Explains square matrices, including invertible, triangular, and diagonal matrices, and their properties.