Lectures related to Singular Value Decomposition: Applications and Theorems

Covers the concept of Singular Value Decomposition (SVD) for compressing information in matrices and images.

Explores Spectral Clustering, eigenvalue decomposition, Laplacian matrices, and cluster identification through eigenvector projections.

Matrices and Networks

Explores the application of matrices and eigendecompositions in networks.

3D Rotations and Quaternions

Covers 3D rotations, quaternions, and matrices of direction cosines, providing an elegant solution to the limitations of rotation matrices.

Quantum Information: Rabi Oscillations

Explores Rabi oscillations in quantum information, focusing on spin dynamics and Hamiltonian evolution.

Polar Decomposition Theorem

Explores the Polar Decomposition Theorem, decomposing deformations into stretches and rotations, discussing uniqueness and implications in continuum mechanics.

Instantaneous Center of Rotation

Explains the concept of the instantaneous center of rotation in solid mechanics and how to determine it based on known speeds of points.