推 john97611017:bosects是啥阿@@? 03/06 18:40
→ john97611017:看到後面的解釋了XD 別理我... 03/06 18:41
※ 編輯: poi28 來自: 111.252.180.166 (03/06 18:55)
→ poi28:不好意思，題目打錯，已修正，謝謝樓上提醒 03/06 18:55
推 apollo211248:第一題就是b1b2b3為任意數就是了 03/07 01:36
請問兩題線代問題：
1.What conditions must b1,b2, and b3 satisfy in order for the following system
of equations to be consistent?
X1 + 2X2 + 3X3 =b1
2X1+ 5X2 + 3X3 =b2
X1 + 8X3 =b3
2.Let u and v be nonozero vecters in 2- or 3-space, and let k =||u|| and
l=|v|.Show that the vecter w=lu+kv bisects the angle between u and v
(i.e., the angles between u and w and between v and w are equal.)
|1 2 -3 b1 |
第一題解到[A|B]=|0 1 -3 b2-2b1 |
|0 0 -1 b3+2b2-3b1 |
解到這就不懂了，consistent不是代表有一解或是無限多解嗎？
而且Rank(A)=3,那就是b1,b2,b3不管怎麼代，都一定會有解不是嗎？
那這是到底要怎麼求…
第二題就真的不會證了…, 有請各位大大解答
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