Lectures related to Quadratic Forms in IR³

Covers non-negative definite matrices, covariance matrices, and Principal Component Analysis for optimal dimension reduction.

Discusses quadratic forms, matrix diagonalization, and their applications in optimization problems.

Explores the spectral decomposition of symmetric matrices, including diagonalization and orthogonal basis change matrices.

Covers examples of symmetric matrices and their properties, including eigenvectors and eigenvalues.

Introduces key concepts in linear algebra, including matrices, operations, and numerical invariants.

Covers the process of finding orthogonal bases and spectral decomposition of symmetric matrices.