Abstract
This chapter discusses the solution of sets of linear algebraic equations. Cramer's rule, which is well known from the course on higher algebra, is not suitable in practice for solving sets of linear algebraic equations as it requires an excessive amount of arithmetic. The practical methods of solving sets of linear algebraic equations can be divided into two large groups, namely, exact methods and methods of successive approximation. Using the exact methods, it is possible in principle to find the exact values of the unknowns after a finite number of operations. It is naturally presupposed that the coefficients and right-hand sides of the sets are known exactly, and that no rounding is applied in the calculations. In the first step, the set is simplified and in the second this set, is solved and the values of the unknowns found.
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