As we've journeyed together through the realms of linear algebra, we've uncovered the powers of matrices in transforming shapes and spaces, akin to casting spells that reshape our perception of the ...

Suppose $V$ is a vector space. Given some vectors in $V$, we can add them with every nice property we might expect: associativity, an identity, inverses, and ...

Abstract: An analytic parahermitian matrix admits in almost all cases an eigenvalue decomposition (EVD) with analytic eigenvalues and eigenvectors. We have previously defined a discrete Fourier ...

In applying statistical methods such as principal component analysis, canonical correlation analysis, and sufficient dimension reduction, we need to determine how many eigenvectors of a random matrix ...

Abstract: This article explores the eigenvalues and eigenvectors of Boolean matrices, and applies them to the attractor analysis of Boolean networks (BN s). The eigenvalues and eigenvectors of Boolean ...

This is a preview. Log in through your library . Publisher Information "The Society for Industrial and Applied Mathematics is a leading international association for applied mathematics, and its ...

ABSTRACT: Generalize reflexive matrices are a special class of matrices that have the relation where and are some generalized reflection matrices. The nontrivial cases ( or ) of this class of matrices ...