作者mqazz1 (无法显示)
看板Math
标题[线代] eigenvalue
时间Tue Aug 9 14:43:56 2011
Every n*n matrix has n eigenvalues and n eigenvectors
False
========
(d) Each eigenvector of A is also an eigenvector of A^2
True
(e) Each eienvector of an invertible matrix A is also an eigenvector of A^(-1)
True
(f) If v is an eigenvector of an invertible matrix A,
then cv is an eigenvector of A^(-1) for all nonzero scalars c
True
请问这些是为什麽?
谢谢
--
※ 发信站: 批踢踢实业坊(ptt.cc)
◆ From: 192.192.13.101
1F：→ a21802 :(d)(A^2)X=A(AX)=A(0)=0 08/09 21:04