作者winer8 (快来明星3 缺1 )
看板Grad-ProbAsk
标题[理工] [线代]-线性映射
时间Wed Dec 9 01:33:15 2009
1.let T be a linear operator space V of dinension 3 ,and let x be a vector
in V . If p denotes the smallest positive integer such that
3 2
(T-2I) (x)=0 and (T-2I) (x) (T-2I)(x) ,x ar independent vectors,then
What is the matrix presentation of T by the ordered set
2
{(T-2I) (x), (T-2I)(x), x}?
ans: 2 1 0
Ta=[0 2 1 ]
0 0 2
这题我连题目再说什麽都不懂= = 拜托解释的详细点 那个p 到底代表什麽?
2.Let A be a real symmetric positive definite n*n matrix
prove that the leading principle submatrices A1 A2.....An of A are all
positive definite(A leading principle submatrix Ar is formed by deleting
the last n-r rows and columns of A)
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◆ From: 114.37.139.185
1F：→ itsforte:1.就是乔丹正则式 12/09 08:05
2F：→ winer8:不太懂@@ 恳请楼上交交我怎麽解 12/09 11:52
3F：→ winer8:拜托各位高手教一下我T.T 12/09 22:13
4F：→ comerjoy:只是告知P=3，在做映射时会用到(T-2I)^3=0，所以才强调 12/11 02:12
5F：→ comerjoy:基底以经给你了，在所给定的基底上找代表矩阵 12/11 02:17