Projection Orthogonal: Importance of Orthogonal Bases

Introduces orthogonal families, orthonormal bases, and projections in linear algebra.

Explores the properties and applications of orthogonal matrices in linear algebra, focusing on orthogonality and projections.

Covers the definition and use of coordinate systems and applications in bases and linear equations.

Introduces orthogonal bases, projection onto subspaces, and the Gram-Schmidt process in linear algebra.

Covers determining vector spaces, calculating kernels and images, defining bases, and discussing subspaces and vector spaces.