Question

If A is a square matrix of order 3 such that |A| = 5, write the value of |adj A|.

Answer 1

For any square matrix of order n, \[\left| adj A \right| = \left| A \right|^{n - 1}\]

\[\Rightarrow \left| adj A \right| = \left| A \right|^2 = 5^2 = 25\]