Coordinate Systems and Applications

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

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

Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.

Covers the basics of linear mapping and coordinate systems.

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