Equation Conditions of Frobenius Inequality and Equation of the Rank of Diagonalizable Matrix
Meixiang Chen · Journal of Shanxi Normal University · 2011
In this paper based on from the necessary and sufficient conditions on the equivalence of the Sylvester and the Frobenius of inequality of the rank of matrix product,which were given by Marsaglia and Styan,using the nature of the generalized inverse of simultaneous matrix diagonalization,we give a sequence of necessary and sufficient conditions on equivalence of the Sylvester and the Frobenius of inequality of the rank of simultaneous matrix diagonalization.