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  4. Let A be a square matrix of order 3 × 3, then |5A| =

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Q. Let A be a square matrix of order $3 \times 3$, then $|5A| =$

KCETKCET 2018

Solution:

We know that $| kA | = k^n | A |$, where n is the order of the matrix A
$\therefore \, | 5A | = 5^3 | A | = 125 | A |$