Lectures related to Unitary matrix

Explains Singular Value Decomposition, focusing on orthogonal vectors and matrix decomposition.

Covers the concept of density matrix and statistical mixtures in quantum mechanics, explaining how to measure observables and calculate averages.

Covers the decomposition of symmetric matrices into eigenvalues and eigenvectors.

Explores symmetric matrices, their diagonalization, and properties like eigenvalues and eigenvectors.

Explores Sobolev spaces, unitary groups, Laplacian properties, and translation groups in L^2.

Explores basis transformation, eigenvalues, and linear operators in inner product spaces, emphasizing their significance in Quantum Mechanics.

Explores the spectral decomposition of symmetric matrices, including diagonalization and orthogonal basis change matrices.