Lectures related to Vector Calculus in 3D

Covers the concept of orthogonal complement and projection in vector spaces.

Explores vector spaces, subspaces, bases, and linear combinations in R² and R³, including free and linked families.

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

Introduces orthogonality between vectors, angles, and orthogonal complement properties in vector spaces.

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

Explores the definition and properties of Hermitian forms in complex vector spaces.

Introduces orthogonal sets and bases, discussing their properties and linear independence.