Given the matrix it is known that A n = I, the unit matrix, for some integer

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Given the matrix

A=  1 0 0 0 0 0 0001000 0 0010000 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 07 0 0 0 0 0 0 0 1 0

it is known that An = I, the unit matrix, for some integer n; find this value.

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