If
A . X = C is a system of linear equations consisting of n linear equations and n unknowns so that
det(A) ≠ 0, then the sisterm of the equation has a unit solving. The settlement can be solved by using the formula:
The Formula of How to Solve
3 Variables Linear Equation System by Using The Cramer's Rule
Where Aj is the matrix obtained by substituting the entries in the jth column of the entries in the matrix.
Example: Determine the settlement of the equation below by using the cramer's rule!
Answer: The matrix system multiplication form of the equation is:
From this form obtained:
Therefore,
Similarly this article.
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