Question

用矩阵变换求解三元一次方程.好的再加20分.

Answer 1

增广矩阵 =

1 1 1 6

3 1 -1 2

5 -2 3 10

r2-3r1,r3-5r1

1 1 1 6

0 -2 -4 -16

0 -7 -2 -20

r2*(-1/2),r1-r2,r3+7r2

1 0 -1 -2

0 1 2 8

0 0 12 36

r3*(1/12),r1+r3,r2-2r3

1 0 0 1

0 1 0 2

0 0 1 3

所以 x=1,y=2,z=3.