Cramer Rule

Cramer 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 Rule for determinants.

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

Cramer Rule

Cramer Rule

 

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

 

Cramer 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 Rule

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

Cramer Rule

 

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

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