It should be made clear, however, that, when it comes to the practical numerical solution of a set of linear Equations that may be encountered in practice, this is probably the most laborious and long...It should be made clear, however, that, when it comes to the practical numerical solution of a set of linear Equations that may be encountered in practice, this is probably the most laborious and longest method ever devised in the history of mathematics. Here \(\mathbb{A}\) is the matrix of the coefficients, \(\textbf{x}\) is the column vector of unknowns, and \(\textbf{b}\) is the column vector of the constants.