Lectures related to Skew-symmetric matrix

Explores linear applications in vector spaces, emphasizing subspaces and properties of linear maps.

Explores Sylvester's Inertia Theorem, relating eigenvalues to diagonal entries in symmetric matrices.

Explores symmetric matrices, quadratic forms, and critical points in functions of two variables.

Explores symmetric matrices, quadratic forms, diagonalization, and definiteness with examples and calculations.

Covers the decomposition of symmetric matrices into eigenvalues and eigenvectors.

Covers the Cholesky decomposition of a symmetric positive definite matrix and its applications.

Explores diagonalization in symmetric matrices, emphasizing orthogonality and orthonormal bases.