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If \( \mathrm{A} \) is a square matrix of order \( 3 \times 3 \), then \( |\mathrm{KA}| \) is equal to
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Verified Answer
The correct answer is:
\( \mathrm{K}^{3}|\mathrm{~A}| \)
Given that, matrix $A$ of order $3 \times 3$.
We know that, for a matrix of order $n \times n$ we have
$|K A|_{n \times n}=K^{n}|A|$
Here $n=3$, we get
$|K A|_{3 \times 3}=K^{3}|A|$
We know that, for a matrix of order $n \times n$ we have
$|K A|_{n \times n}=K^{n}|A|$
Here $n=3$, we get
$|K A|_{3 \times 3}=K^{3}|A|$
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