Re: [理工] 線代 TorF

看板Grad-ProbAsk作者ab170926 (華胥)時間13年前 (2013/01/30 23:37)推噓4(4推 0噓 4→)

留言8則, 3人參與討論串2/3 (看更多)

※ 引述《zero200488 (Kiowa)》之銘言： : 1.A linear transformation is onto if and only if the column of its standard : matrix span its range.-------------------F 看不太懂感謝推文補充...codomain **我這邊也有個問題如果T: R^3->P2 onto range(T) = P2 可是CS( [T]_B ) 應該是= R^3 ? : 2.The ptoduct of square matrices is always defined.---------------F 恩兩個矩陣SIZE不一樣? : 3.The pivot columns of the reduced row echelon form of A form a basis for : the column space of A.-------------F 是原本矩陣中相對應的行才是基底 : 4.Every square matrix has a complex eigenvalue.----------T : 為什麼? 我覺得實數也是複數的一部分所以應該是對的 : 5.Let W be a two-dimensional subspace of R^3. The orthogonal projection : operator onto W is onto.---------------F P:R^3->R^3 rank(P)=2 : 6.For a given set of data plotted in the xy-plane,the least-squares line is : the unique line in the plane that minimizes the sum of the vertical distan- : ces from the data points to the line.---------F : 問題有點多謝謝取反例，只有一個點的找到的線就不只一個了 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 59.127.156.20 ※ 編輯: ab170926 來自: 59.127.156.20 (01/30 23:49)

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tw00288312

01/30 23:45, , 1^F

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zero200488

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tw00288312

01/30 23:49, , 3^F

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