Question

If $ A = \left[\begin{array}{cc} 3 & 1 \\2 & 4 \end{array}\right] $, then the determinant of the adjoint of $ A^2 $ is:

• A. 121
• B. 144
• C. 100
• D. 196

Hint:

Key Fact: For a 2x2 matrix, \( \det(\text{adj}((A)) = \det((A) \), and \( \det(A^2) = (\det((A))^2 \).