If $A$ is a square matrix of order 3 and $|A| = -5$, then $|3A|$ is equal to
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → -135
For a square matrix of order $n$, the determinant satisfies:
$|kA| = k^n \cdot |A|$
Here, $n = 3$, $k = 3$, and $|A| = -5$.
$|3A| = 3^3 \cdot (-5) = 27 \cdot (-5) = -135$