矩阵A123 221 343 B21 53 c 13 20 31求矩阵X使AXB=C

解: B^-1 =
3 -1
-5 2
AX = CB^-1 =
-12 5
6 -2
4 -1
(A,CB^-1) =
1 2 3 -12 5
2 2 1 6 -2
3 4 3 4 -1
r3-r1-r2,r2-2r1
1 2 3 -12 5
0 -2 -5 30 -12
0 0 -1 10 -4