Image and Kernel of the Sum and Intersection of Matrix Polynomials
Kezheng Zuo · Journal of Xuzhou Normal University · 2008
In this paper,the structure of sum and intersection of image space and kernel subspace for some polynomials of the same matrix A is given,some results are as follows:1 Rf1A∩Rf2A∩…∩RfkA=R[f1A,f2A,…,fkA;2 Rf1A+Rf2A+…+RfkA=Rf1A,f2A,…,fkA;3 Nf1A∩Nf2A∩…∩NfkA=Nf1A,f2A,…,fkA;4 Nf1A+Nf2A+…+NfkA=N[f1A,f2A,…,fkA.This generalizes some existing results of Jiang Yongquan and Hu Fugao et al.