Finding the characteristic polynomial of a matrix is a fundamental task in linear algebra, with applications ranging from determining eigenvalues and eigenvectors to analyzing the stability of systems ...

Abstract: As a fundamental work on coding theory, the characteristic polynomial for symmetric companion matrix of an extended field with the characteristic number 2 is investigated. A new linear ...

Calculator for Matrix and Algebra can solve some expression that not too complex such as expression that doesn't have much nested parentheses. It can solve Single Variable Equation and can expand the ...

Abstract: Conditions for the bivariate characteristic polynomial of a matrix to be very strict Hurwitz are presented. These conditions are based on the necessary and sufficient conditions for the ...

The second path matrix S(G) collects all the second paths in the graph G. Its characteristic polynomial shows some regularity in several particular graphs, such as paths, cycles, stars and complete ...

College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, China. For this problem, the paper will be divided into two parts. The first part will provide the ...