How to Use Cramer’s Rule?
Study the following steps to solve the linear equations using Creamer’s Rule,
- Write the given system of equations in AX = B form.
- Find the value of determinant (D) of matrix A. (Note: If the determinant is zero, then a system of equations does not have a unique solution, which is invalid in Cramer’s Rule).
- Now, find the value Dx which is the determinant of matrix A in which constants of the given linear equations replace the coefficient of x.
- Now, find the value Dy which is the determinant of matrix A in which constants of the given linear equations replace the coefficient of y.
- Now, find the value Dz which is the determinant of matrix A in which constants of the given linear equations replace the coefficient of z. (find this determinant only if 3 variables are present in the given equation).
- Similarly, find determinants for all the unknowns if more than three unknowns are present.
- Find the values of x = Dx/D, y = Dy/D, and z = Dz/D.
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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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