[理工] [線代]-向量空間判別
A set V is a vector space if V satisfies the following:
(i)V has a zero vector;(ii) whenever u and v belong to V,
then u+v belongs to V; and(iii) whenever v belong to V and
c is a scalar,then cv belongs to V.
true or false?
請問是不是他沒說V是子空間，所以是false呢??
是不是沒說是子空間的話就要滿足八大運算呢?
還是說這題也可以看成，因為向量加法跟純量乘法都是正常定義，
所以只要滿足封閉性，就可以是向量空間，所以是true呢??
我這邊觀念有點搞混...希望有高手可以解答!!!
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