用矩阵的初等变换求逆矩阵:A=0,0,1,2;1,0,2,0;0,1,0,2;2,1,0,0

啊 我重做

呵呵 粗心要不得 0 0 1 2 1 0 0 0 1 0 2 0 0 1 0 0 0 1 0 2 0 0 1 0 2 1 0 0 0 0 0 1 r4-2r2 0 0 1 2 1 0 0 0 1 0 2 0 0 1 0 0 0 1 0 2 0 0 1 0 0 1 -4 0 0 -2 0 1 r4-r3 0 0 1 2 1 0 0 0 1 0 2 0 0 1 0 0 0 1 0 2 0 0 1 0 0 0 -4 -2 0 -2 -1 1 r2-2r1, r4+4r1 0 0 1 2 1 0 0 0 1 0 0 -4 -2 1 0 0 0 1 0 2 0 0 1 0 0 0 0 6 4 -2 -1 1 r4*(1/6) 0 0 1 2 1 0 0 0 1 0 0 -4 -2 1 0 0 0 1 0 2 0 0 1 0 0 0 0 1 2/3 -1/3 -1/6 1/6 r1-2r4, r2+4r4, r3-2r4 0 0 1 0 -1/3 2/3 1/3 -1/3 1 0 0 0 2/3 -1/3 -2/3 2/3 0 1 0 0 -4/3 2/3 4/3 -1/3 0 0 0 1 2/3 -1/3 -1/6 1/6 交换行得 1 0 0 0 2/3 -1/3 -2/3 2/3 0 1 0 0 -4/3 2/3 4/3 -1/3 0 0 1 0 -1/3 2/3 1/3 -1/3 0 0 0 1 2/3 -1/3 -1/6 1/6