Inverse Of A Matrix

Step 1: Write the coefficient matrix : Step 2: Compute the determinant : Step 3: Solve for and using determinants: Replace the first column of with the constants to get : Replace the second column of with the constants to get : Step 4: Calculate and : Thus, the solution is:

The determinant is calculated as: Computing the minors: Substituting back:

Given and : Since , we conclude that .

Step 1: Use :
Step 2: Perform the matrix multiplication:
Final Answer: