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Consider a linear system of equations, in \$n\$ unknowns, expressed as
$$A \textbf x = \textbf b$$
where \$A \in M_{n,n}(\mathbb Z)\$ is an \$n \times n\$ matrix of integers, \$\textbf x\$ is a column vector of unknowns \$(x_1, x_2, \dots, x_n)\$ and \$\textbf b = (b_1, b_2, \dots, b_n)\$ is a co...