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?
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?