| 摘要 |
PROBLEM TO BE SOLVED: To provide a method (200) which decides the equivalence of two sets of simultaneous linear algebraic equations and is performed by computer. SOLUTION: Each of the equations is in the form ei1x1+ei2x2+ei3x3,+..., +eiixn=bi, and here, a xj is defined as an unknown, eij is defined as a coefficient and bi is defined as quantity, and a relation between unknowns within the sets is defined according to the coefficient and the quantity. The coefficient and the quantity are a known algebraic expression. Also lii and ri are algebraic expressions, and unknowns are repeatedly erased from the respective set of the simultaneous linear algebraic equations (250 to 280), until the respective equations become the form (lii)kxi=(ri)k, while k=(1; 2) shows one of the set from which the equations are derived. A product (lii)1*(ri)2 is compared with (lii)2*(ri)1 about the respective unknowns (300). Only when products agree with all the unknowns (310), are two sets of the simultaneous linear algebraic equations equivalent (312). The device (100) for performing the method (200) is also provided.
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