Re: [理工] [線代]-行列式證明題

看板Grad-ProbAsk作者時間16年前 (2009/12/03 17:26), 編輯推噓1(100)
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※ 引述《ruby791104 (阿年:))》之銘言: : 1.Use mathematical induction to prove that if A is an (n+1) ×(n+1) matrix : with two identical rows then det(A) = 0 Case n=0 is trivial. If it is true for n×n matrix, then for (n+1) ×(n+1) matrix, we can use raw expansion with respect to some raw not any one of two identical rows given. By the assumption, every term is 0. QED. : 以上,麻煩好心的大大!(鞠躬 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 140.109.103.226

12/03 23:44, , 1F
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12/03 23:44, 1F
文章代碼(AID): #1B5uHDxv (Grad-ProbAsk)
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文章代碼(AID): #1B5uHDxv (Grad-ProbAsk)