In the past few decades, multi-linear algebra also known as tensor algebra has been adapted and employed as a tool for various engineering applications. Recent developments in tensor algebra have ...

As data analytics has become an important application for modern data management systems, a new category of data management system has appeared recently: the scalable linear algebra system. We argue ...

We present a new multiplication concept of quaternion matrices, a new determinant concept, a new inverse concept of quaternion matrix and a new similar matrix concept. Under the new concept system, ...

A linear system is \textit {inconsistent} if it does not have a solution.}\index {system of linear equations!consistent} \index {system of linear equations!inconsistent} \index {consistent} \index ...

The original dense system is Fourier transformed and then pruned off by removing the insignificant frequencies in accord with the rules of matrix algebra. This approach reduces the original system ...

This is the revised and expanded edition of the problem book Linear Algebra: Challenging Problems for Students, now entitled Problems in Linear Algebra and Matrix Theory. This new edition contains ...

After finding a solution, it is inserted back into the matrix - to check whether the system has at least one solution or not. If the test solution is successful, then the function returns 1 or $\inf$, ...

Due to the science of nonlinear models can be approximated by the linear models. Linear algebra was widely used in the natural sciences, engineering, computer and social science. Linear algebra ...