Determinants

Step 1: Begin by calculating the determinants of the two matrices. The determinant of a matrix is given by: For the first matrix the determinant is: Simplifying: so the determinant is: For the second matrix the determinant is: Simplifying: so the determinant is: Step 2: Now, we add the two determinants: Step 3: According to the given equation we have: Step 4: Finally, we calculate :

Step 1: Understanding the Concept:
For a matrix , the determinant is calculated using the formula: .
Step 2: Detailed Explanation:
In this determinant: . Applying the formula: $ $
Step 3: Final Answer:
The correct option is (b).