作者KAINTS (RUKAWA)
看板Grad-ProbAsk
標題[理工] 線代
時間Fri Nov 16 22:18:26 2012
n n
(1) If T:R -> R is a function such that ||T(u)-T(v)||=||u-v||
n
for all vectors u and v in R , then T is an orthogonal
oprator.
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F:||T(u)||=||u|| for all u in R .
<=>T is an ortogonal operators.
這樣這題沒有保內積嗎?
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推 ddczx:我覺得是錯在他沒說T是線性映射,如果是應該就對了 11/16 23:12
→ KAINTS:也就是說他少了T is linear operator? 11/16 23:41
推 ddczx:恩,如果是的話:T(u)-T(v)=T(u-v) 11/17 01:06
→ KAINTS:ok,thks 11/17 08:57