Cramer’s Rule

Cramer’s Rule:

If the network is complex, the number of equations i.e. unknowns increases. In such case, the solution of simultaneous equations can be obtained by Cramer’s Rule for determinants.

Let us say that set of simultaneous equations obtained is, as follows :

Cramer's Rule

Cramer's Rule

 

Then Cramer’s rule says that form a system determinant Δ or D as,

 

Cramer's Rule

Then obtain the subdeterminants Dj by replacing jth column of Δ by the column of constants existing on right hand side of equations i.e. C1,C2, … Cn;

Cramer's Rule

The unknowns of the equations are given by Cramer’s rule as,

Cramer's Rule

 

where D1, D2,…, Dn and D are values of the respective determinants.

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