Lectures related to Linear Algebra: Quantum Mechanics

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

Covers the theory and applications of bilinear forms in various mathematical contexts.

Covers diagonalization of matrices, eigenvectors, linear maps, and least squares method.

Covers the representation theory of unitary minimal models and the Virasoro algebra.

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

Explores linear operators, boundedness, and vector spaces with a focus on verifying bounded aspects.

Delves into unitary operators, self-adjoint properties, and spectral theorems in linear algebra.