[理工] [線代] 請問一個 Vector space 問題
課本上的問題, 不知道答案為什麼是這樣??
Let V = {(a1, a2, ...,an):ai E C} is a vector space
Is V a vector space over the field of real numbers with
the operations of coordinatewise addition and multiplication?
Ans: Yes
Let V = {(a1, a2, ...,an):ai E R} is a vector space
Is V a vector space over the field of complex numbers with
the operations of coordinatewise addition and multiplication?
Ans: No
請高手幫忙解惑, 感謝
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