Lectures related to Matrix Optics

Introduces key concepts in linear algebra, including matrices, operations, and numerical invariants.

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

Covers matrices, linear applications, vector spaces, and bijective functions.

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

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

Explores matrix multiplication, inverses, transposition, and determinants in linear algebra.

Explores orthogonally diagonalizable matrices, eigenvectors, bases, and matrix properties.