a simple constructive proof of Simultaneous diagonalization theorem in quantum computing. Firstly，we prove that $AB=BA \Leftrightarrow MM^\dagger=M^\dagger M$: $MM ...

the eigenvalues of a matrix in a clear manner. A Square matrix A of order n over a field F is said to be diagonalizable, if it is similar to a diagonal matrix over the field F. where P is the modal ...

Department of Cyber-Physical Systems, Clark Atlanta University, Atlanta, GA, USA. where P is some reflection (symmetric signed permutation) matrix. Like U, the generalized reflexive matrices A arise ...

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 ...