Question: Let A be ann xn matrix with all entries integer numbers and determinant equal to 1. Let b be a vector of length n

Let A be ann xn matrix with all entries integer numbers and

Let A be ann xn matrix with all entries integer numbers and determinant equal to 1. Let b be a vector of length n with all entries integer numbers and let z be the vector of length n that satisfies the equation Ax = b. Does x has all its entries integer numbers? Explain your answer.

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