TY - JOUR
A2 - Badawi, A.
A2 - Bracken, P.
AU - Song, Xiaofei
AU - Zheng, Baodong
AU - Cao, Chongguang
PY - 2013
DA - 2013/11/11
TI - A Note on Decomposing a Square Matrix as Sum of Two Square Nilpotent Matrices over an Arbitrary Field
SP - 640350
VL - 2013
AB - Let K be an arbitrary field and X a square matrix over K. Then X is sum of two square nilpotent matrices over K if and only if, for every algebraic extension L of K and arbitrary nonzero α∈L, there exist idempotent matrices P1 and P2 over L such that X=αP1−αP2.
SN - 2356-6140
UR - https://doi.org/10.1155/2013/640350
DO - 10.1155/2013/640350
JF - The Scientific World Journal
PB - Hindawi Publishing Corporation
KW -
ER -