Symmetric Matrices and Quadratic Forms

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

Explores the classification of quadratic forms based on eigenvalues and orthogonal diagonalization of symmetric matrices.

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

Explores quadratic forms in IR³, matrix properties, diagonalization, and positive definite matrices.

Explains the Principal Axes Theorem for symmetric matrices and quadratic forms, showing the existence of orthogonal matrices for diagonalization.