Question

用矩阵的出等变换将矩阵化为标准型,

Answer 1

1 2 4 -1

2 2 4 3

3 4 8 2

r3-r2-r1,r2-2r1

1 2 4 -1

0 -2 -4 5

0 0 0 0

c2-2c1,c3-4c1,c4+c1

1 0 0 0

0 -2 -4 5

0 0 0 0

c2*(-1/2),c3+4c2,c4-5c2

1 0 0 0

0 1 0 0

0 0 0 0