左:(a1a2a3+a2a2a3+a13a2a2-a1a2a12-a12a2a23-a13a2a31)x1a13 右=(ba291a3-b2a12a2a43-ba242a13+b2a13a2a1 b,a3302a23-b3 a13a12a23-b,a330a22a13+b3 a13a22a13) 右=(ba2q3+b241242+b2a13a2-ba23a2-b2a12a3-b2a13a2)1 a,aa t aaaa+ aara 可得 13 a21)x1 1221033-13223 b,a2,a2+ +aa b 23432-a1 33 左端项为方程组系数矩阵对应的三阶行列式 1a23+a12al23l31+a13421a32 123432-a12a2143-al1342a31可得 左端项为方程组系数矩阵对应的三阶行列式 1 23 32 12 2 33 13 22 3 1 22 33 12 23 3 13 32 2 11 23 32 12 21 33 13 22 31 1 11 22 33 12 23 31 13 21 32 ) ( b a a a b a a a b b a a a a b a a b a a a a a a a a a x a a a a a a a a a − − − = + + − − − + + 11 23 32 12 21 33 13 22 31 11 22 33 12 23 31 13 21 32 31 32 33 21 22 23 11 12 13 a a a a a a a a a a a a a a a a a a a a a a a a a a a A − − + + − = = 11 22 33 12 23 31 13 21 32 11 23 32 12 21 33 13 22 31 1 13 左：(a a a + a a a + a a a − a a a − a a a − a a a ) x a ( - ) ( - ) 1 33 12 23 3 13 12 23 1 33 22 13 3 13 22 13 1 23 12 33 2 13 12 33 1 23 32 13 2 13 32 13 b a a a b a a a b a a a b a a a b a a a b a a a b a a a b a a a − + 右 = − + − 1 22 33 3 12 23 2 13 32 1 23 32 2 12 33 3 13 22 13 右 = (b a a + b a a + b a a -b a a -b a a -b a a )a