Re: [理工] 線代-找basis
※ 引述《thank1984 (thankakimo)》之銘言：
: 題目： 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) //***
: 問題： 各位大大請問u2是不是寫錯了 我寫 (-1,1,0,1) 還是解答是對的？？ 煩請解答
: 感謝..
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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