Lectures related to Coordinate Application: Components and Bases

Introduces the kernel of a linear application and its properties.

Explores the definition and properties of Hermitian forms in complex vector spaces.

Covers the determination of matrices associated with linear transformations and explores the kernel and image concepts.

Covers linear dependence, independence, and applications in vector spaces.

Explores bases, dimensions, and matrix ranks in vector spaces with practical examples and proofs.

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