Question

If A is a non-singular matrix of order 3 and | adj. A| = |Alk, then find the value of k.

Answer 1

Answer:

|Adj A|=|A|^n-1

here n=3

also |Adj A| =|A|^n-1=|A|^k. (from question)

therefore k=n-1

k=3-1

=2