[理工] [線代]-三題證明題，請大大們幫忙！

看板Grad-ProbAsk作者ruby791104 (阿年：）)時間16年前 (2009/11/26 22:57)推噓1(1推 0噓 3→)

留言4則, 3人參與討論串1/2 (看更多)

嗯…… 我承認這是作業，可是我真的不會寫，拜託好心的大大幫忙！以下三題，討論並證明”only if”的情形。 1.Suppose A, B are in R^n＊n and A is nonsingular. Prove that AB is singular if B is singular. 2.Suppose A, B are in R^n＊n and A-B is nonsingular. Prove that┌ ┐ is nonsingular. ｜I I ｜｜｜｜A B ｜ └ ┘ 3.Suppose A, E, F are in R^n＊n and that E and F are elementary matrices. Prove that if A is nonsingular then EAF is nonsingular. 先在此謝過好心的大大囉！（鞠躬 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 120.127.32.231 ※ 編輯: ruby791104 來自: 120.127.32.231 (11/26 23:00) ※ 編輯: ruby791104 來自: 120.127.32.231 (11/26 23:00) ※ 編輯: ruby791104 來自: 120.127.32.231 (11/26 23:02)

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qa77330

11/26 23:02, , 1^F

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iyenn

11/26 23:16, , 2^F

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iyenn

11/26 23:25, , 3^F

11/26 23:25, 3^F