Re: [理工] [線代] 觀念題
※ 引述《lightergogo (賴打葛葛)》之銘言:
: (a)True or False: If A is diagonalizable, then the rank of A equals the number
: of nonzero eigenvalues of A.
: (b)Prove your answer.
-1
A = PDP
因為P可逆
所以 rank(A) = rank(D) = the numbers of nonzere eigenvalues of A.
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 140.115.205.42
推
03/11 13:03, , 1F
03/11 13:03, 1F
推
03/11 13:14, , 2F
03/11 13:14, 2F
推
03/11 13:14, , 3F
03/11 13:14, 3F
推
03/11 14:13, , 4F
03/11 14:13, 4F
推
03/11 14:54, , 5F
03/11 14:54, 5F
→
03/11 17:24, , 6F
03/11 17:24, 6F
推
03/11 23:36, , 7F
03/11 23:36, 7F
討論串 (同標題文章)