Lectures related to Vectors and Norms: Introduction to Linear Algebra Concepts

Covers linear equations, vectors, and matrices, exploring their fundamental concepts and applications.

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

Explores polynomial operations, properties, and subspaces in vector spaces.

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

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

Explores orthogonality, norms, and distances in vector spaces for solving linear systems.

Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.

Introduces vector spaces with binary addition and scalar multiplication, exploring geometric examples in R2.