A determinant can be defined in various ways for a square matrix. One straightforward method involves using the elements of the first row and their corresponding minors. Start by multiplying the first ...

A matrix is useful for showing relationships between concepts or data, and PowerPoint has several matrices built into the SmartArt tools. Microsoft Office has four types of matrices you can use in ...

We show that finite-rank perturbations of certain random matrices fit in the framework of infinitesimal (type-B) asymptotic freeness. This can be used to explain the appearance of free harmonic ...

Refinery samples are combinations of a range of hydrocarbons (aromatic, polycyclic, aliphatic, and more) created from the process of fractionated distillation of crude oil. Their viscosities, ...