If A is a 3 × 3 matrix such that |A| = 5, then the value of |adj(adj A)| is:
Correct: C
For an n×n matrix A, adj(adj A) = |A|^{n-2} * A. Here n=3, so adj(adj A) = |A|^{1} * A = 5A. Therefore |adj(adj A)| = |5A| = 5^3 * |A| = 125 * 5 = 625. Alternatively, using the property |adj A| = |A|^{n-1}, we get |adj A| = 5^{2} = 25. Then |adj(adj A)| = |adj A|^{n-1} = 25^{2} = 625.