What kinds of numbers will be found as entries in $\displaystyle A^n$? (n-any positive integer) What kinds of numbers are impossible?

No idea how to approach this one.

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- Mar 3rd 2012, 03:56 PMfreestarLinear Algebra matrix to a general power
What kinds of numbers will be found as entries in $\displaystyle A^n$? (n-any positive integer) What kinds of numbers are impossible?

No idea how to approach this one. - Mar 4th 2012, 08:54 AMDevenoRe: Linear Algebra matrix to a general power
here is a place to start: suppose that the entries of A are integers. will the entries of A^n be non-integers?

another example: suppose that the entries of A are rational. will the entries of A^n ever be irrational?