Question

将下列矩阵化为最简形矩阵1 1 -1 1 00 0 1 1 1 2 2 -1 0 1 1 1 -2 0 -10 0 2

Answer 1

3-2r1,r4-r1,r6+r1

1 1 -1 1 0

0 0 1 1 1

0 0 1 -2 1

0 0 -1 -1 -1

0 0 2 -4 2

0 0 1 -2 1

r6-r3,r5-2r3,r4+r2,r3-r2,r1+r2

1 1 0 2 1

0 0 1 1 1

0 0 0 -3 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

r3*(-1/3),r1-2r3,r2-r3

1 1 0 0 1

0 0 1 0 1

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0