CUET Preparation Today
CUET
-- Mathematics - Section B1
Matrices
If A is a square matrix of order 3 such that $|2(adj A)| = 288$, then the value of $|A|$ is
144
36
±12
±6
$|2(adj\, A)| = 288$
$⇒2^3|adj\, A|=288$
$=2^3|A|^2=288$
$|A|^2=36$
$|A|=±6$
