Linear Algebra: Vector Spaces

Related lectures (23)

Page 1 of 3

Explains linear independence, basis, and matrix rank with examples and exercises.

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

Covers the basics of linear mapping and coordinate systems.

Covers the basics of linear algebra, emphasizing the identification of subspaces through key properties.

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Covers vector spaces, bases, and decomposition of vectors in R³.

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

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

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

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.