作者sm008150204 (風切羽狂)
看板Math
標題[線代] Linear transformation
時間Tue Feb 15 11:13:58 2011
3
Show that in R the rotation around the unit vector
v = (a,b,c) by angle θ is
[a^2 ab ac] [ 0 c -b]
Q = cosθ I + (1-cosθ)[ ab b^2 bc] - sinθ [-c 0 a]
[ ac bc c^2] [ b -a 0]
沒甚麼想法,我曾經把 (1,0,0) 帶進去過 ,
但是得到的向量與(a,b,c)和(1,0,0)所生成的平面沒有共平面
所以覺得很困惑
拜託大家了 謝謝 (懶得打全部,也可以提示我一下就好)
感激不盡!!
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