Lectures related to Eigenvalue Problems: Methods and Applications

Characteristic Polynomials and Similar Matrices

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Matrix Computations: Eigenvalues and Eigenvectors

Delves into the complexity of matrix computations, focusing on eigenvalues and eigenvectors, algorithms, errors, and numerical stability.

Diagonalization of Matrices

Explores the diagonalization of matrices through eigenvectors and eigenvalues.

Diagonalization Method: Application and Properties

Covers the method of diagonalization for determining if a non-square matrix A is diagonalizable.

Quantum Mechanics: Composite Systems and Angular Momentum

Explores quantum mechanics concepts applied to composite systems and angular momentum, emphasizing the importance of understanding the basics.

Quantum Physics I

Introduces key quantum physics concepts such as commutators, observables, and the Schrödinger equation, emphasizing the importance of diagonalization and energy eigenvalues.