请问线性代数组怎样判断有解还是无解还是有自由解 线性代数，有唯一解，无解，有无穷多解，这些都有什么区别
\u7ebf\u6027\u4ee3\u6570\u95ee\u9898\uff0c\u7ebf\u6027\u65b9\u7a0b\u7ec4\u4ec0\u4e48\u60c5\u51b5\u65e0\u89e3\uff0c\u6709\u552f\u4e00\u89e3\u548c\u65e0\u9650\u89e3|a|
=
|2
\u03bb
-1|
|\u03bb
-1
1|
|4
5
-5|
|a|
=
|2
\u03bb
-1|
|\u03bb+2
\u03bb
-1
0|
|-6
5-5\u03bb
0|
|a|
=
(-1)*
|\u03bb+2
\u03bb
-1|
|-6
5-5\u03bb|
|a|
=
(\u03bb
-1)*
|\u03bb+2
1|
|6
5|
|a|
=
(\u03bb
-1)(5\u03bb+4)
\u03bb
\u2260
1
\u4e14
\u03bb
\u2260
-4/5
\u65f6\uff0c\u65b9\u7a0b\u7ec4\u6709\u552f\u4e00\u89e3\uff0c\u5373\u96f6\u89e3\u3002
\u03bb
=
1
\u65f6\uff0c\u7cfb\u6570\u77e9\u9635
a
=
[2
1
-1]
[1
-1
1]
[4
5
-5]
\u884c\u521d\u7b49\u53d8\u6362\u4e3a
[1
-1
1]
[0
3
-3]
[0
9
-9]
\u884c\u521d\u7b49\u53d8\u6362\u4e3a
[1
0
0]
[0
1
-1]
[0
0
0]
\u65b9\u7a0b\u7ec4\u6709\u65e0\u7a77\u591a\u89e3\uff0c
\u901a\u89e3
x
=
k(0
1
1)^t
\u03bb
=
-4/5
\u65f6\uff0c\u7cfb\u6570\u77e9\u9635
a
=
[2
-4/5
-1]
[-4/5
-1
1]
[4
5
-5]
\u884c\u521d\u7b49\u53d8\u6362\u4e3a
[10
-4
-5]
[-4
-5
5]
[
4
5
-5]
\u884c\u521d\u7b49\u53d8\u6362\u4e3a
[10
-4
-5]
[-4
-5
5]
[
0
0
0]
\u884c\u521d\u7b49\u53d8\u6362\u4e3a
[10
-4
-5]
[-20
-25
25]
[
0
0
0]
\u884c\u521d\u7b49\u53d8\u6362\u4e3a
[10
-4
-5]
[
0
-33
15]
[
0
0
0]
\u884c\u521d\u7b49\u53d8\u6362\u4e3a
[10
-15
0]
[
0
-11
5]
[
0
0
0]
\u884c\u521d\u7b49\u53d8\u6362\u4e3a
[
2
-3
0]
[
0
-11
5]
[
0
0
0]
\u65b9\u7a0b\u7ec4\u6709\u65e0\u7a77\u591a\u89e3\uff0c
\u901a\u89e3
x
=
k(15
10
22)^t
\u552f\u4e00\u89e3\uff1a\u7ebf\u6027\u4ee3\u6570\u6570\u6709\u4e14\u53ea\u6709\u4e00\u4e2a\u89e3\uff0c\u5373\u6709\u4e14\u53ea\u6709\u4e00\u4e2a\u6b63\u786e\u7b54\u6848\u6ee1\u8db3\u9898\u610f\u3002
\u65e0\u89e3\uff1a\u7ebf\u6027\u4ee3\u6570\u6ca1\u6709\u89e3\uff0c\u5373\u6ca1\u6709\u4e00\u4e2a\u7b54\u6848\u53ef\u4ee5\u6ee1\u8db3\u9898\u610f\u3002
\u6709\u65e0\u7a77\u89e3\uff1a\u7ebf\u6027\u4ee3\u6570\u6709\u65e0\u7a77\u591a\u4e2a\u89e3\uff0c\u5373\u6709\u65e0\u6570\u4e2a\u7b54\u6848\u53ef\u4ee5\u6ee1\u8db3\u9898\u610f\u3002
\u533a\u522b\uff1a
1\uff0c\u89e3\u7684\u4e2a\u6570\u4e0d\u540c\u3002
2\uff0c\u89e3\u9898\u6b65\u9aa4\u4e0d\u540c\u3002
3\uff0c\u5199\u6cd5\u4e0d\u540c\u3002
\u6269\u5c55\u8d44\u6599\uff1a
\u65e0\u89e3\u7684\u610f\u601d\u662f\u5728\u4e00\u5b9a\u7684\u8303\u56f4\u5185\u6ca1\u6709\u4efb\u4f55\u7684\u6570\u6ee1\u8db3\u8be5\u65b9\u7a0b\u3002
\u4e24\u6761\u76f4\u7ebf\u65b9\u7a0b\u76f8\u4ea4\u7684\u60c5\u51b5\u5c31\u4f1a\u51fa\u73b0\u552f\u4e00\u89e3\u3002
\u5f53\u4e24\u6761\u76f4\u7ebf\u51fa\u73b0\u5e73\u884c\u7684\u60c5\u51b5\u5c31\u4f1a\u51fa\u73b0\u65e0\u89e3\u3002
\u5f53\u4e24\u6761\u76f4\u7ebf\u51fa\u73b0
假设A为线性方程组，B为它的增广矩阵，A的帙=B的帙有解，A的帙<B的帙为无解，
看△来确定，△<0,x无解;其他的则有解
书上有啊
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