Matrix serves as a key tool in the study of higher algebra.The definition and properties of symmetric and anti-symmetric matrices are given in discussing the computation of matrix transpose.

• 摘要在高等代数中矩阵是研究问题很重要的工具，在讨论矩阵的转置运算时给出了对称矩阵和反对称矩阵的定义及性质。