[EN] In this article, we characterize the involutiveness of the linear combination of the form a1A1 + a2A2 when a1, a2 are nonzero complex numbers, A1 is a quadratic or tripotent matrix, and A2 is arbitrary, under certain ...
[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 ...