Question

设：A= 1 2 3 2 2 1 3 4 3 B= -2 1 2 解矩阵方程：AX=B

Answer 1

(A,B) =

1 2 3 -2

2 2 1 1

3 4 3 2

r2-2r1,r3-3r1

1 2 3 -2

0 -2 -5 5

0 -2 -6 8

r1+r2,r3-r2

1 0 -2 3

0 -2 -5 5

0 0 -1 3

r1-2r3,r2-5r3

1 0 0 -3

0 -2 0 -10

0 0 -1 3

r2*(-1/2),r3*(-1)

1 0 0 -3

0 1 0 5

0 0 1 -3

所以 X=(-3,5,-3)^T.