Solve this following

Question:

If $\mathrm{A}$ is a 3-rowed square matrix and $|3 \mathrm{~A}|=\mathrm{k}|\mathrm{A}|$ then $\mathrm{k}=$ ?

A. 3 B. 9

C. 27 D.1

Solution:

Since the matrix is of order 3 so 3 will be taken common from each row or column.

So, $k=27$

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