Journal of Economics, Vol. 84, No. 1 (February 2005), pp. 71-94 (24 pages) Economic systems often are described in matrix form as x = Mx. We present a new theorem for systems of this type where M is ...

Abstract: The classical matrix-tree theorem allows us to list the spanning trees of a graph by monomials in the expansion of the determinant of a certain matrix. We prove that in the case of ...

The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

A real square matrix whose non-diagonal elements are non-positive is called a Z-matrix. The purpose of this paper is to show a necessary and sufficient condition for non-singularity of two types of ...

Abstract: This work proposes traceability link derivation process and theorems to establish the trace links between system objectives, requirements, design models and ...

The analogy between eigenvalues and singular values has many faces. The current review brings together several examples of this analogy. One example regards the similarity between Symmetric Rayleigh ...

It would be nice to be able to solve this problem using RREF, because it is very easy to find a basis for the column space of a RREF matrix like One solution for this would be to introduce column ...