Representation and Application of Normal Matrix on Matrix Space M2(C)
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.