[線代] 三個作者那本的題目

[pop10353 (卡卡:目)]

Let T be a linear operator on an inner product space V.
If < T(x) , y > = 0 for all x,y belong to V
Prove that T = T0.

In fact,prove this result if the equality holds

for all x and y in some basis for V.

有幾個問題....
Q1:
T0是甚麼??
Q2:
看不出來他說證明下面那個跟上面那個有甚麼關係@@"

--
※ 發信站: 批踢踢實業坊(ptt.cc) 
◆ From: 140.130.208.5
→ THEJOY      :T0是零轉換
→ Sfly        :set y=T(x)
→ pop10353    :sor樓上，不懂？？
推 powerkshs   :<T(x),T(x)>=0 imply T(x)=0 for all x belongs to v