Lectures related to Interference in Layers: Matrices Approach

Covers the concept of basis, linear transformations, matrices, inverses, determinants, and bijective transformations.

Covers vector spaces, bases, and decomposition of vectors in R³.

Covers the fundamentals of linear equations, matrices, and systems of linear equations, including matrix operations and solutions.

Covers matrix addition, scalar multiplication, transposition, symmetry, and antisymmetry properties.

Covers matrix operations and properties of matrices, including symmetric and anti-symmetric matrices.

Covers systems of equations, matrices, solving examples, and consequences of invertible matrices.

Covers the definition and properties of determinants for square matrices, including elementary operations and Lagrange's theorem.

Covers the fundamentals of electromagnetic waves and optics, including interference phenomena, diffraction, refraction, and reflection of light.