【摘要】 在文献 [7,11]的基础上 ,进一步讨论了有关幂等矩阵和对合矩阵的问题 ,给出了对合矩阵的几个秩等式。对幂等矩阵P和 Q ,我们证明了当PQ - QP是非奇异矩阵时PQ(PQ - QP) - 1是沿空间R(Q)到R(P)的斜投影算子更多还原

【Abstract】 On the basis of the results for idempotent and involutory matrices in ,we further establish several rank equalities for involutory matrices. It is also demonstrates that PQ(PQ-QP) -1 is an oblique projector onto R(P) along R(Q) for two projectors P and Q if PQ-QP is nonsingular.更多还原