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⊥ Let A be a 7x5 matrix of rank 4. What is the dimension of N(A) . 解: ⊥ dim N(A) = 7-dim col(A) = 3 爲什麼是用7去減而不是用5呢 ? -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 111.249.139.64
mp8113f:用5減去的是Dim N(A) 維度定理dim N(A) + rank(A) = 5 12/26 22:36
mp8113f:我比較好奇的是N(A)per = Row(A) 不是應該等於4嗎0.0 ' 12/26 22:37
mp8113f:dim N(A)per = rank(A) = dim row(A) = dim col(A) 12/26 22:38
mp8113f:二三行請忽略 ...有人可以幫解釋嗎 = = 感覺腦筋打結 12/26 22:38
kkilljeff:答案應該是4 解答那個解法是dim(N(A^t))吧 12/26 23:15
CrazyBoss:我也覺得是4 12/26 23:35
mp8113f:推五樓 ..我也覺得答案問的是dim N(A^t)才是4 12/26 23:38
paul999:N(A)per = R(A^t) = R(A) = 4 12/26 23:48
harrypotter2:答案是4才對 12/26 23:51
dkcheng:爲什麼是4,小的資質駑鈍..煩請講解.. 12/27 23:36
asuslover:二樓已經說啦~ 12/27 23:39
say19880920:dim N(A)per = dim Row(A)=rank(A) 12/27 23:41
dkcheng:ok,懂囉,原來這麼簡單..被詳解誤了.. 12/27 23:45
sneak: ok,懂囉,原來這麼簡 https://daxiv.com 09/11 14:41