If A is a square matrix of order 3 and |A| is 2, then value of |adj(A)| is:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 4
For a square matrix A of order n, the determinant of the adjoint is
\(|\mathrm{adj}\,A| = |A|^{n-1}\)
Here n = 3 and |A| = 2:
\(|\mathrm{adj}\,A| = 2^{3-1}\)
\(= 2^2 = 4\)