Linear algebra forms the mathematical backbone of data science and machine learning algorithms. This comprehensive tutorial covers essential linear algebra concepts, from basic matrix operations to ...

Matrix Algebra is the mathematics of systems. In this system we explore the basics of matrix algebra as applied to portfolio risk. January 25 – May 31, 2025 Time for all workshops: 9:00 – 10:30 am ET ...

Analytic perturbation theory for matrices and operators is an immensely useful mathematical technique. Most elementary introductions to this method have their background in the physics literature, and ...

Elementary set theory and solution sets of systems of linear equations. An introduction to proofs and the axiomatic methods through a study of the vector space axioms. Linear analytic geometry. Linear ...

The paper compares of the multidimensional matrix algebra and the tensor algebra. It is shown that tensor algebra operations are realized in the multidimensional matrix algebra more efficiently.

In this study, we propose matrix-mimetic, tensor-algebraic formulations to preserve and process data in its native, multidimensional format. For a general family of tensor algebras we prove the ...