摘要
正规矩阵是一种具有良好性质的特殊重要矩阵.根据正规矩阵的定义,利用矩阵运算、特征值及矩阵范数,研究了矩阵空间M2(C)中正规矩阵的表示形式及几个典型应用.讨论了矩阵空间M2(C)中由正规矩阵构成的标准正交基、正交基及基,深化了 Pauli矩阵的性质,这些结果充实并完善了二阶正规矩阵的理论结果.
Abstract
A normal matrix is a special and important matrix with good properties.According to the definition of normal matrix,the representation form and several typical applications of normal ma-trix in matrix space M2(C)were studied using matrix operations,eigenvalues,and matrix norms,sec-ondly,the standard orthogonal bases,orthogonal bases,and bases composed of normal matrices in ma-trix space M2(C)are discussed,andthe properties of Pauli matrices are deepened,these results enrich and improve the theoretical results of second-order normal matrices.
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