Question

用行初等变换把矩阵化为简化行阶梯形.

Answer 1

1 1 -3 -1 1

3 -1 -3 4 4

1 5 -9 -8 0

r2-3r1, r3-r1

1 1 -3 -1 1

0 -4 6 7 1

0 4 -6 -7 -1

r3+r2

1 1 -3 -1 1

0 -4 6 7 1

0 0 0 0 0

r2*(-1/4)

1 1 -3 -1 1

0 1 -3/2 -7/4 -1/4

0 0 0 0 0

r1-r2

1 0 -3/2 3/4 5/4

0 1 -3/2 -7/4 -1/4

0 0 0 0 0