摘要
矩阵A的(T,S,2)-逆是指适合XAX=X,R(X)=T和N(X)=S的矩阵X,以矩阵的秩为工具,本文研究了三矩阵乘积的(T,S,2)-逆的反序律,给出了(ABC)_(T_4,S_4)^(2)=C_(T_3,S_3)^(2)B_(T_2,S_2)^(2)A_(T_1,S_2)^(2)的充要条件。
The (T, S,2)-inverse .AT(2),s of a matrix A is matrix the X satisfying XAX = X,R(X) = T and N(X) = S . This paper deals with the reverse order law for (T,S,2)-inverse of a triple matrix product and proves the necessary and sufficient condition for (ABC)T4(2),S4 =
.
关键词
矩阵乘积
(T
S
2)-逆
反序律
matrix product
(T,S,2)-inverse
reverse order law.
