In connection with many problems of engineering and physics it is necessary to solve sets of linear algebraic simultaneous equations involving a large number of unknowns; for instance in the determination of secondary stresses in bridges and other structures sets of equations involving from ten to twenty, or even more, unknowns may occur and the labour involved in the solution when the number of unknowns is more than about six is very great. Various attempts have been made to design a machine which will solve such equations automatically and quickly, but, as far as the author knows, none of them has been really successful.
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R. R. M. Mallock (1933) studied this question.