中心自共轭矩阵的一些性质

Properties on centro self-conjugate matrix

引入中心自共轭矩阵的定义,给出了中心自共轭矩阵的代数和、转置、积(幂及张量积)以及伴随矩阵也是中心自共轭矩阵的结论.得出当δ(A)=δ((?)),以及当V是n阶翻矩阵,λ_0∈δ(A),0≠X_0=(a_1,a_2,…,a_n)~T∈C^n,AX_0=λX_0时,有(?)VX_0=λX_0等论断.

The concept of centro self-conjugate matrix was introduced.The results that the algebra addition, transpose,product（power and tensor product） of centro self-conjugate matrices and conclucion that the adjoint matrix of a centro self-conjugate matrix are still centro self-conjugate matrices were obtained. Moreover,the assertion thatδ（A） =δ（A） and when A =n grade flig matrix,λ_∈δ（A）,0≠X_0 =（a1,a2,…,an） ^T∈Cn,AX0 =λX0,AVX0 =λX0 were also investigated.