作者PttFund (批踢踢基金只进不出)
看板Math
标题[线代] 线代(10)
时间Sun Aug 21 10:39:57 2005
If V is a finite dimensional vector space, T: V ---> V is a
linear transformation such that T^3 - 3T^2 + 3T - I = O, where
O: V ---> V, O(v) = 0 for all v in V.
(1) Show that there is a v≠0 in V such that T(v) = v.
(2) Show that T is invertible.
1 1 0
(3) Let A = ( 0 1 1 ). Show that A is invertible, and express
0 0 1
A^{-1} as a polynomial in A with real coefficients.
--
我好穷啊，我好缺批币啊
，你有抠抠ㄋㄟ
可怜可怜我吧，施舍一点吧
请到(P)LAY-->(P)AY-->(0)GIVE-->PttFund-->吧
--
※ 发信站: 批踢踢实业坊(ptt.cc)
◆ From: 140.112.218.142
1F：推 gary27:乎.....收完了^^!140.134.242.144 08/21
2F：推 PttFund:谢谢 :)140.112.218.142 08/21