Basic Electrical and Electronics Engineering: Unit I: Electrical Circuits

Solving Equations by Determinants - Cramer's Rule

Electrical Circuits

If the number of equations is more than two, it is easier to get the solution by using determinants.

SOLVING EQUATIONS BY DETERMINANTS - CRAMER'S RULE

If the number of equations is more than two, it is easier to get the solution by using determinants.

If I1, I2 and I3 are the three unknowns in a system of three linear equations


Then, the system can be written in matrix form as follows:


The values of I1, I2 and I3 are given by

This is known as Cramer's rule and can be applied to any system of n linear equations provided Δ is not zero.

Basic Electrical and Electronics Engineering: Unit I: Electrical Circuits : Tag: : Electrical Circuits - Solving Equations by Determinants - Cramer's Rule