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If $A$ is a square matrix of order 2 and $|A| = -2$, then value of $|5A^T|$ is |
$-50$ $-10$ $10$ $50$ |
$-50$ |
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 $|kA|=k^2|A|$] $= 25 \times (-2) = -50$ |
