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不知道可以这样做波。。。

Posted by hncsyjc at 2013-06-21 21:49:29 on Problem 3233
设S=A+A^2+A^3+...+A^k
那么A*S=A+A^2+A^3+...+A^k
下面减去上面,有:
(A-l)S=A^(k+1)-A
S=(A^(k+1)-A)*(A-l)^(-1)
其中(A-l)^(-1)是(A-l)的逆矩阵
l是单位阵

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