CUET Preparation Today
CUET
-- Mathematics - Section A
Determinants
Let A be a non-singular square matrix of order n with |adj A| = 64 and |A| = 4, then 'n' is:
3
4
5
6
The correct answer is Option (2) → 4
$|A|=4$
$|adj\,A|=|A|^{n-1}$
$=4^{n-1}=64$
$4^{n-1}=4^3$
$n-1=3$
$n=4$