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 ...

This course focuses on lines and planes, the geometry and algebra of vectors, systems of linear equations, matrix algebra, linear independence, spanning sets, basis, linear transformations, ...

Risk and life comes in systems. What is the variance of multiple risks? What is the variance of a portfolio? Matrix Algebra is the mathematics of systems. In this system we explore the basics of ...

Many real-world data are inherently multidimensional; however, often data are processed as two-dimensional arrays (matrices), even if the data are naturally represented in higher dimension. The common ...

Download PDF More Formats on IMF eLibrary Order a Print Copy Create Citation This paper sets out the key concepts necessary to calculate trade in value added using input-output tables. We explain the ...

Abstract: 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 ...

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 ...