Lingling Wu, Xiaoji Liu, Yaoming Yu
Abstract
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We discuss the following problem: when aP + bQ + cPQ + dQP + ePQP + fQPQ + gPQPQ of idempotent matrices P and Q, where a, b, c, d, e, f, g ∈ ℂ and a ≠ 0, b ≠ 0, is group involutory.
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We discuss the following problem: when aP + bQ + cPQ + dQP + ePQP + fQPQ + gPQPQ of idempotent matrices P and Q, where a, b, c, d, e, f, g ∈ ℂ and a ≠ 0, b ≠ 0, is group involutory.
Key concepts: Idempotent matrix, Involutory matrix, Idempotence, Group (periodic table), Mathematics, Matrix (chemical analysis), Combinatorics, Pure mathematics