CUET Preparation Today
Given that $A$ is a square matrix of order 3 and $|A| = -2$, then $|\text{adj}(2A)|$ is equal to: |
$-2^6$ $4$ $-2^8$ $2^8$ |
$2^8$ |
The correct answer is Option (4) → $2^8$ ## $|\text{adj}(2A)| = |(2A)|^2$ $= (2^3 |A|)^2$ $= 2^6 |A|^2$ $= 2^6 \times (-2)^2$ $= 2^8$ |
