Lectures related to Navigation Equations: Part 1

Provides an overview of symmetric matrices, quadratic forms, and their applications in linear algebra and analysis.

Explains the inertia tensor, main axes, principal moments, and balancing of rotating solids.

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

Explores spectral and singular value decompositions of matrices.

Explores matrix inversion, conditions for invertibility, uniqueness of the inverse, and elementary matrices for inversion.

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