Cramer’s Rule Conditions
Cramer’s rule is applicable only when certain conditions are satisfied. The important condition of Cramer’s rules are,
From the above diagram, it is clear that if determinant (D) is not equal to zero then it gives a unique solution. In contrast, if D is equal to zero then no solution or infinitely many solutions are given.
The AX = B has a unique solution if D ≠ 0 i.e. determinant is non-zero.
If D = 0 we have two conditions and any of them can be true,
First Condition
Infinitely many solutions, this situation arises when D = 0 and at least one determinant of the numerator is zero.
Second Condition
No solution, this situation arises when D = 0 and at no determinant of the numerator is zero.
Cramer’s Rule
Cramer’s Rule is used to find the unknowns in the given system of linear equations. Cramer’s Rule is the most commonly used formula for finding the solution for the given system of linear equations in matrix form. Cramer’s Rule uses the concept of the determinant to find its solution.
Let’s know How to Apply Cramer’s Rule and its explanation. It requires some prior knowledge of matrices, determinants, and the system of linear equations.
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