Consider an arbitrary \( 3 \times 3 \) non-singular matrix \( A=[a i j] \). A matrix \( B=[b i j....

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Consider an arbitrary \( 3 \times 3 \) non-singular matrix \( A=[a i j] \).
\( \mathrm{P} \)
A matrix \( B=[b i j] \) is formal such that \( b i j \) is the sum of all
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the elements except \( a i j \) in the \( i \) th row of \( A \). Answer the following questions:
The value of \( |B| \) is equal to:
(1) \( |A| \)
(2) \( \frac{|A|}{2} \)
(3) \( 2|A| \)
(4) None of these


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