If $A$ is a square matrix of order 2 and $|A| = -2$, then value of $|5A^T|$ is
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → $-50$ ##
Given $|A| = -2$
Then, $|A’| = -2$
Now, $|5A’| = |5A|$
$|5A’|=5^2|A|$ [Since, matrix is of order $2\times 2$, then $|kA|=k^2|A|$]
$= 25 \times (-2) = -50$