Question

初等行变换化为最简形矩阵2 3 1 -3 -71 2 0 -2 -43 -2 8 3 02 -3 7 4 3

Answer 1

1-2r2,r3-3r2,r4-2r2

0 -1 1 1 1

1 2 0 -2 -4

0 -8 8 9 12

0 -7 7 8 11

r1*(-1),r2-2r1,r3+8r1,r4+7r1

0 1 -1 -1 -1

1 0 2 0 -2

0 0 0 1 4

0 0 0 1 4

r1+r3,r4-r3

0 1 -1 0 3

1 0 2 0 -2

0 0 0 1 4

0 0 0 0 0

r1r2

1 0 2 0 -2

0 1 -1 0 3

0 0 0 1 4

0 0 0 0 0

此为行最简形.