作者rex1216 (朝着目标努力)
看板Grad-ProbAsk
标题Re: [理工] 线代-找basis
时间Mon Mar 23 16:38:08 2009
※ 引述《thank1984 (thankakimo)》之铭言：
: 题目： Let W be the subspace of R^4 consisting of vectors of the form
: [ X_1 ]
: x= [ X_2 ] . All vectors x in W satisfy x1+x2-x3 = 0 and x2-x4 = 0
: [ X_3 ]
: [ X_4 ]
: Sol:
: x1 = x3-x4 => 取 u1=(1,0,1,0)
: x2 = x4 u2=(-1,0,0,1) //***
: 问题： 各位大大请问u2是不是写错了 我写 (-1,1,0,1) 还是解答是对的？？ 烦请解答
: 感谢..
令x2 = c1 , x3 = c2
=> x4 = c1 , x1 = -c1+c2
|-1 | | 1 |
=> x = c1| 1 | + c2| 0 |
| 0 | | 1 |
| 1 | | 0 |
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◆ From: 114.45.100.148
1F：→ rex1216:你写错了 03/23 16:42
2F：推 thank1984:抱歉 那个sol是解答的答案 我没写清楚 03/23 16:49