作者查詢 / goderA
作者 goderA 在 PTT 全部看板的留言(推文), 共2222則
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6F推: 把他懶叫捏爆09/13 02:22
6F推: det(A) = -8 , tr(A) =3 我猜eigenvalue = 4,-2,109/12 18:15
7F→: 好像有一個子矩陣的公式可以用 不過我忘了 哈哈 用det跟tr09/12 18:17
8F→: 猜然後再驗證09/12 18:17
10F推: 算det(A-xI)是否等於009/12 19:04
1F推: 大guy4醬09/09 17:23
2F→: https://imgur.com/a/NSMcD09/09 17:23
3F推: 有點暗@@09/09 17:28
6F推: 我發現舊的中間有寫錯 更正過了09/11 22:38
7F→: https://imgur.com/jj9XzCz09/11 22:38
9F噓: 工殺小09/08 12:15
21F推: 1%很穩吧~我覺得台大也很有機會 固態組比110.28.232.235 09/06 22:29
22F→: 較冷門110.28.232.235 09/06 22:29
1F推: https://imgur.com/gallery/Qov8W09/05 23:58
2F→: 我覺得你劃線的地方好像寫錯了 0.009/05 23:58
3F推: https://imgur.com/htVr45u09/06 00:03
5F推: 有甲位09/05 13:46
2F→: 數學推導很簡單 想了解的是直觀的想法(意義)比較好記~09/03 00:22
2F推: 11639.12.35.243 09/02 12:41
1F推: det(A-λI)=0, since A is singular, det(A)=0, we have08/29 16:33
2F→: λ=0 is a eigenvalue of A. dim{N(A-λI),λ=0} = dim{N08/29 16:33
3F→: (A)} = nullity = n-r = 4-3 = 1 = GM(λ=0)<=AM(λ=0). s08/29 16:33
4F→: ince A is 4x4, and λ≠0 has multiplicity 3 , so AM(λ08/29 16:33
5F→: =0) = 4-3 = 1.08/29 16:33
6F推: GM(λ=0)應該是1 你算錯了 不過AM>=GM 要對角化每個λ一定08/29 16:36
7F→: 要AM=GM(各eigenspace的基底總和=4) 題目沒說清楚 不過從08/29 16:37
8F→: 答案來看應該是指AM=GM的情況08/29 16:37