摘要
以集合 S与空集Φ的交、并运算为背景 ,定义集合 H ={ 0 ,1 }中的加法与乘法运算 0 ,并考虑 H上一个 s×n级矩阵的左逆矩阵、右逆矩阵以及伪左逆矩阵、伪右逆矩阵的定义 ,并且证明了矩阵 A有左、右逆矩阵 ,A有伪左、右逆矩阵的充分必要条件 .
On the background of the intersection and union of a set S and empty set Φ . Define a addition and a product in set H=0,1 , then consider the matrixes on H and define the left (or right ) inverse and the false left (or right ) inverse of a matrix A sxn . At last, give conditions such that A has such a left (or right ) or false left (or right ) inverse.
出处
《数学的实践与认识》
CSCD
2000年第3期376-379,共4页
Mathematics in Practice and Theory
关键词
左逆
右逆
伪左逆
伪右逆
矩阵
集合
left inverse
right inverse
false left inverse
false right inverse
