Let T=c1T1+c2T2+c3T3- c4(T1T2+T3T1+T2T3), where T1, T2, T3 are three n x n tripotent matrices and c1, c2, c3, c4 are complex numbers with c1, c2, c3 nonzero. In this article, necessary and sufficient conditions for the ...
Let T(1) and T(2) be two n x n tripotent matrices and c(1), c(2) two nonzero complex numbers. We mainly study the nonsingularity of combinations T = c(1)T(1) + c(2)T(2) - c(3)T(1)T(2) of two tripotent matrices T(1) and ...
[EN] Let A and B be two generalized quadratic matrices with respect to idempotent matrices P and
Q, respectively, such that (A − αP)(A − βP) = 0, AP = PA = A, (B − γ Q)(B − δQ) = 0, BQ =
QB = B, PQ = QP, AB = BA, and (A ...