Question

线性代数 求这四道题 答案

Answer 1

（1）
A =
1 0 2 -1
2 0 3 1
3 0 4 3
=
1 0 2 -1
0 0 -1 3
0 0 -2 6
=
1 0 2 -1
0 0 -1 3
0 0 0 0

（2）
A =
0 1 2 -1
0 2 3 1
0 3 4 3
=

0 1 2 -1
0 0 -1 3
0 0 -2 6
=

0 1 2 -1
0 0 -1 3
0 0 0 0

（3）
A =
1 1 -1 1 1
2 0 -4 1 0
2 -1 -5 -3 6
3 4 -2 4 3
=
1 1 -1 1 1
0 -2 -2 -1 -2
0 -3 -3 -5 4
0 1 1 1 0
=
1 1 -1 1 1
0 1 1 1 0
0 -3 -3 -5 4
0 -2 -2 -1 -2
=
1 1 -1 1 1
0 1 1 1 0
0 0 0 -2 4
0 0 0 1 -2
=
1 1 -1 1 1
0 1 1 1 0
0 0 0 1 -2
0 0 0 -2 4
=
1 1 -1 1 1
0 1 1 1 0
0 0 0 1 -2
0 0 0 0 0

（4）
A =
2 3 4 -3 -7
1 2 0 -2 -4
3 -2 8 3 0
2 -3 7 4 3
=

1 2 0 -2 -4
2 3 4 -3 -7
3 -2 8 3 0
2 -3 7 4 3
=

1 2 0 -2 -4
0 -1 4 1 1
0 -8 8 9 12
0 -7 7 8 11
=

1 2 0 -2 -4
0 -1 4 1 1
0 0 -24 1 4
0 0 -21 1 4
=

1 2 0 -2 -4
0 -1 4 1 1
0 0 -24 1 4
0 0 3 0 0
=

1 2 0 -2 -4
0 -1 4 1 1
0 0 3 0 0
0 0 -24 1 4
=

1 2 0 -2 -4
0 -1 4 1 1
0 0 3 0 0
0 0 0 1 4