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Question: I need help evaluating a very specific limit of a vector!!!

Question:I need help evaluating a very specific limit of a vector!!!

tfn105 4 Maple
infinity
March 24 2006
0
I need some help!! I need to show the following using MAPLE 9.5: Suppose I have a symmetric 4 x 4 matrix whose entries are all positive, called A. Suppose also that I have a random vector in R4 whose entries are also all positive, called c. I already have a routine to determine the largest absolute eigenvalue of the 4 x 4 matrix, called L. I need to show that the vector v, calculated as follows: v = lim[(A^n)c / (L^n)] as n tends to infinity is an eigenvector of A, with eigenvalue L. Any suggestions??
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