西安毛子科技大学XIDIANUNIVERSITY初等矩阵的性质1初等矩阵皆可逆，且其逆仍为初等矩阵P(i,j)-1 = P(i, j),P(i(k)-1 = P(i()P(i,j(k))-1 = P(i,j(-k))1 初等矩阵皆可逆，且 其逆仍为初等矩阵. 初等矩阵的性质 1 P i j P i j ( , ) ( , ), − = 1 1 P i k P i ( ( )) ( ( )), k − = 1 P i j k P i j k ( , ( )) ( , ( )). − = −