Lectures related to Dimension of Vector Subspace Sum

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

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

Explores vector subspaces and linear combinations in linear algebra, focusing on the reciprocal relationship between lines, columns, and elements.

Covers the definition of norm, distance between vectors, and Cauchy-Schwarz inequality.

Introduces linear applications, span, kernels, and images in vector spaces with illustrative examples and theorems.

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

Covers strategies for matrix operations and the concept of vector spaces.