看板 Grad-ProbAsk 關於我們 聯絡資訊
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. n F:||T(u)||=||u|| for all u in R . <=>T is an ortogonal operators. 這樣這題沒有保內積嗎? -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 123.193.7.20
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
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