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 ...

An investigation is carried out in the behavior of the determinants of certain moment matrices, for which the (i, j) entry is the (i + j)th moment of a distribution F. The determinant can be ...

Abstract: Determinants has been used intensively in a variety of applications through history. It also influenced many fields of mathematics like linear algebra. Finding the determinants of a squared ...

Abstract: This chapter gives some basic notions of ordinary matrix theory that is essential to make the book self‐contained one. It describes few basic properties of fuzzy matrices and determinants ...

Proceedings of the American Mathematical Society, Vol. 125, No. 8 (Aug., 1997), pp. 2245-2254 (10 pages) We construct the so-called right adjoint sequence of an n × n matrix over an arbitrary ring.

Left ventricular samples from paediatric (age 9 ± 5 years; n = 10) and adult (age 62 ± 3 years; n = 20) DCM (at time of transplant) were subjected to an MMP/TIMP multiplex array and immunoassay in ...

Biofilms are microbial communities that inhabit various surfaces and are surrounded by extracellular matrices (ECMs). Clinical microbiologists have shown that the majority of chronic infections are ...

My algorithm for calculating matrix determinants isn't working as it should, so I'm turning to Ars for some maths help.<BR><BR><BR>So...<BR>I'm trying to find the ...