[理工] [線代]救救我ˊˋ
Let A be an m*n matrix and A^T the transpose of A.
(a)AA^T is invertible.
(b)B=I+AA^T is nonsingular
第一小題.我只知道說他要先證明rank(AA^T)=rank(A)
然後如果A列獨立的話.那AA^T就是可逆了.可是整個證明寫出來.我不知道要怎麼寫.
想請大家指點我一下.然後第二小題.我真的不知道要怎麼下手= =.也請大家教我一下.3Q
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 210.60.63.164
推
03/25 14:44, , 1F
03/25 14:44, 1F
→
03/25 14:47, , 2F
03/25 14:47, 2F
→
03/25 14:47, , 3F
03/25 14:47, 3F
推
03/25 15:26, , 4F
03/25 15:26, 4F
→
03/25 15:27, , 5F
03/25 15:27, 5F
→
03/25 15:28, , 6F
03/25 15:28, 6F
→
03/25 15:28, , 7F
03/25 15:28, 7F
→
03/25 16:55, , 8F
03/25 16:55, 8F
→
03/25 19:08, , 9F
03/25 19:08, 9F
→
03/25 20:17, , 10F
03/25 20:17, 10F