## Matrix Limit

Suppose , where with . Find ( after proving that this limit exists )

*Miklos Schweitzer 1950*

**Proof:** Find the eigenvalues of the given matrix, see that they are differnt and two conjugate complex numbers which tend to 0 as , and therfore the matrix is diagonalizable and its powers converge.

To find its limit, find a recurence relation for the entries of the matrix power.

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Categories: Algebra, Problem Solving
miklos schweitzer

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