Linear Algebra: Orthogonal Bases and Hermitian Forms

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.

Covers orthogonal bases, Gram-Schmidt method, linear independence, and orthonormal matrices in vector spaces.

Explains linear independence, bases, and dimension in vector spaces, including the importance of the order of vectors in a basis.

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

Covers linear independence, bases, and coordinate systems with examples and theorems.