线性代数,求大神做一下第六题的2和3小题
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(2)
A =
1 5 -1 -1 -1
1 -2 1 3 3
3 8 -1 1 1
1 -9 3 7 7
化为行最简矩阵:
1 0 3/7 13/7 13/7
0 1 -2/7 -4/7 -4/7
0 0 0 0 0
0 0 0 0 0
所求线性方程组的解为:
x1 = 13/7 - 3/7x3 - 13/7x4
x2 = -4/7 + 2/7x3 + 4/7x4
(3)
A =
2 1 -1 1 1
4 2 -2 1 2
1 1 -1 -1 1
化为行最简矩阵:
=
1 0 0 0 0
0 1 -1 0 1
0 0 0 1 0
所求线性方程组的解为:
x1 = 0
x2 = 1 +x3
x4 = 0
A =
1 5 -1 -1 -1
1 -2 1 3 3
3 8 -1 1 1
1 -9 3 7 7
化为行最简矩阵:
1 0 3/7 13/7 13/7
0 1 -2/7 -4/7 -4/7
0 0 0 0 0
0 0 0 0 0
所求线性方程组的解为:
x1 = 13/7 - 3/7x3 - 13/7x4
x2 = -4/7 + 2/7x3 + 4/7x4
(3)
A =
2 1 -1 1 1
4 2 -2 1 2
1 1 -1 -1 1
化为行最简矩阵:
=
1 0 0 0 0
0 1 -1 0 1
0 0 0 1 0
所求线性方程组的解为:
x1 = 0
x2 = 1 +x3
x4 = 0
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