[理工] [線代]-矩陣的子空間

看板Grad-ProbAsk作者 (即使不能說結束)時間15年前 (2010/03/26 13:04), 編輯推噓2(2推 0噓 4→)
留言6則, 2人參與, 最新討論串1/1
請問下列哪些是M:2x2的subspace T or F ? (a) all 2x2矩陣 with integer entries (b) all 2x2矩陣 such that det(A)=0 (c) all 矩陣 of the form [a b] [0 c] 請問(a).(b).(c)有哪些是M:2x2的子空間呢?? -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 220.129.74.253
推
03/26 13:22, , 1F
ac ?
03/26 13:22, 1F
→
03/26 13:38, , 2F
可以請樓上舉個(b)的反例嗎~"~? 這題在下沒解答...
03/26 13:38, 2F
推
03/26 14:01, , 3F
A + B = [ 1 0 ] + [ 0 0 ] = [ 1 0 ] = C
03/26 14:01, 3F
→
03/26 14:01, , 4F
[ 0 0 ] [ 0 1 ] [ 0 1 ]
03/26 14:01, 4F
→
03/26 14:02, , 5F
but det(C) =\= 0. thus, (b) is not a subspace.
03/26 14:02, 5F
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03/26 14:04, , 6F
感謝^^"
03/26 14:04, 6F
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