Lectures related to Exponential of Operators and Matrices

Covers the process of diagonalizing matrices, focusing on symmetric matrices and the spectral theorem.

Explores the Jordan normal form and its applications in linear algebra, focusing on diagonalization and cyclic bases.

Covers eigenvalues, eigenvectors, characteristic polynomials, and eigenspaces for square matrices.

Discusses the existence of a common orthonormal eigenbasis to normal operators.

Covers the Jordan Normal Form and its application in linear algebra.

Explores the role of linear operators in Quantum Mechanics and linear algebra, emphasizing eigenvalues and basis transformations.

Explains the diagonalization of linear transformations using eigenvectors and eigenvalues to form a diagonal matrix.

Explores the application of matrices and eigendecompositions in networks.