Lectures related to Linear Optimization: Directional Derivatives

Explores matrix determinants, linear independence, and bases in vector spaces.

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

Explains kernel, image, and linear maps, illustrating concepts with examples.

Covers the properties and criteria of linear dependence and independence in a vector space.

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