# 有關normal與self-adjoint的線代問題

Let V=P_2 and T is defined by T(f)=f' ,

where <f,g>=\int_{0}^{1}f(t)g(t).

Determine whether T is normal, self-adjoint or neither.

where <f,g>=\int_{0}^{1}f(t)g(t).

Determine whether T is normal, self-adjoint or neither.

Update:
第二行的最後面忘記打 dt

Update 2:
如果在矩陣裡面

Ａ*的意思是將Ａ矩陣轉置之後加bar

而在線性算子結合內積中

我們定義＜Ｔ* (f) , g ＞＝＜ f ,Ｔ(g)＞

Ａ*的意思是將Ａ矩陣轉置之後加bar

而在線性算子結合內積中

我們定義＜Ｔ* (f) , g ＞＝＜ f ,Ｔ(g)＞

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