复数域上对称矩阵保逆的导出映射

摘要

Supposed thatFis a complex numberfield andn3is integer.Denote bySn(F)the set of allnn symmetric matrices overF.Characterized the general form of induced maps preserving inverses of symmetric matrices over complex numberfields.%设F是复数域，n为整数且n3，Sn(F)为F上的n阶对称矩阵全体构成的集合。给出了域上对称矩阵保逆导出映射的一般形式。