Cramer’s Rule For 2 x 2
Now let us solve a system of 2 equations in 2 variables using Cramer’s rule. Given equation,
a₁x + b₁y = c₁
a₂x + b₂y = c₂
Follow the steps to solve the system of 2 × 2 equations with two unknowns x and y using Cramer’s rule.
Step 1: Write the given system of the equation in matrix form as AX = B
Step 2: Find the determinant (D) of A and find Dₓ and Dᵧ where
Dₓ = det (A) where B replaces the first column of A
Dᵧ = det (A) where B replaces the second column of A
Step 3: Find the values of the variables x and y as,
- x = Dx / D
- y = Dy / D
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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