Document made for 400-level mathematics course named Advanced Linear Algebra. This Document goes over applications of linear algebra on subspaces of vector spaces and functions.

With some of the basic concepts of vector spaces in place, we now return to the abstraction of understanding the vector space as a collection of objects and algebraic operations that satisfy certain ...

The idea this definition captures is that a subspace of V is a nonempty subset which is itself a vector space under the same addition and scalar multiplication as V.

To introduce students to the basic ideas of Functional Analysis, an important area of research developed to study integral and differential equations. To introduce students to the notion of ...

Linear algebra is essential for understanding core data science concepts like machine learning, neural networks, and data transformations. Different books cater to various needs. Some focus on ...

ABSTRACT: We consider plus-operators in Krein spaces and generated operator linear fractional relations of the following form: . We study some special type of factorization for plus-operators T, among ...