Lectures related to Analytical Mechanics: Coupled Harmonics

Explores the diagonalization of symmetric matrices through orthogonal decomposition and the spectral theorem.

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

Introduces eigenvalues, eigenvectors, and similar matrices, emphasizing diagonalization and geometric interpretations.

Covers the concept of symmetric matrices, orthogonal bases, and eigenvectors.

Explores the diagonalization of symmetric matrices and the importance of Singular Value Decomposition.

Explores matrix similarity, diagonalization, characteristic polynomials, eigenvalues, and eigenvectors in linear algebra.

Explores diagonalization in 3D linear algebra, covering conditions for diagonalizability and eigenvectors.

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