[理工] 線代-子空間

看板Grad-ProbAsk作者sdf78je65456 (洨屁孩)時間9年前 (2014/09/22 09:23)推噓2(2推 0噓 4→)

留言6則, 3人參與討論串1/2 (看更多)

Q:若V為一向量空間，W為V的子集且為一向量空間，則W為V的一子空間。 ANS:(X) No. This should make sure that the field and the operations of V and W are the same. Otherwise for example, V = R and W = Q respectly. Then W is a vector space over Q but not a space over R and so not a subspace of V . 請問W為V的子集為何W跟V 卻可能不是佈於同一體?? 假設V佈於R 子集W不也都佈於R嗎?? -- ※ 發信站: 批踢踢實業坊(ptt.cc), 來自: 111.248.113.29 ※ 文章網址: http://www.ptt.cc/bbs/Grad-ProbAsk/M.1411349000.A.D7A.html ※ 編輯: sdf78je65456 (111.248.113.29), 09/22/2014 09:26:51 ※ 編輯: sdf78je65456 (111.248.113.29), 09/22/2014 09:27:55 ※ 編輯: sdf78je65456 (111.248.113.29), 09/22/2014 09:33:24

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A4P8T6X9

09/22 09:59, , 1^F

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yoyotvyoo

09/22 11:48, , 3^F

09/22 11:48, 3^F