The cofactor of the element 4 in the determinant 1 2 3 4 5 6 5 8 9is

The correct option is D 6 Cofactor of element 4 in | 1 amp; 2 amp; 3 4 amp; 5 amp; 6 7 amp; 8 amp; 9 | #160; is ...

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Question

The cofactor of the element $4$ in the determinant
$∣ ∣ ∣ ∣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 5 & 8 & 9 \end{matrix} ∣ ∣ ∣ ∣$
is

2

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4

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6

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- 6

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∣ ∣ ∣ ∣ ∣ ∣ \begin{matrix} 1 & 3 & 5 & 1 2 & 3 & 4 & 2 8 & 0 & 1 & 1 0 & 2 & 1 & 1 \end{matrix} ∣ ∣ ∣ ∣ ∣ ∣

∣ ∣ ∣ ∣ \begin{matrix} 2 & 1 & 3 6 & 5 & 7 3 & 0 & 4 \end{matrix} ∣ ∣ ∣ ∣

∣ ∣ ∣ ∣ ∣ ∣ \begin{matrix} 1 & 3 & 5 & 1 2 & 3 & 4 & 2 8 & 0 & 1 & 1 0 & 2 & 1 & 1 \end{matrix} ∣ ∣ ∣ ∣ ∣ ∣

A_{i j}

a_{i j}

⎡ ⎢ ⎣ \begin{matrix} 2 & - 3 & 5 6 & 0 & 4 1 & 5 & - 7 \end{matrix} ⎤ ⎥ ⎦

a_{32} . A_{32} .

∣ ∣ ∣ ∣ \begin{matrix} - 1 & - 2 & 3 - 4 & - 5 & - 6 - 7 & 8 & 9 \end{matrix} ∣ ∣ ∣ ∣

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