Question

If for any 2 × 2 square matrix A, we have A ⋅ adj(A) = [8 0; 0 8], then the value of det(A) is:

• A. 6
• B. 5
• C. 7
• D. 8

Hint:

N/A

Answer 1

The Correct Option is D

Step 1: Use the identity 
For any square matrix A, the identity is: 
A ⋅ adj(A) = det(A) ⋅ I 
Step 2: Compare with the given matrix 
We are given:

 
This implies: 
det(A) ⋅ I = 8I ⇒ det(A) = 8 
Thus, the value of det(A) is 8.