The cofactor of the element -4- in the determinant - 1 3 5 1- 2 3 4 2- 8 0 1 1- 0 2 1 1 - is

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Cofactor

The cofactor ...

Question

The cofactor of the element '4' in the determinant $∣ ∣ ∣ ∣ ∣ ∣ \begin{matrix} 1 & 3 & 5 & 1 2 & 3 & 4 & 2 8 & 0 & 1 & 1 0 & 2 & 1 & 1 \end{matrix} ∣ ∣ ∣ ∣ ∣ ∣$ is

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-10

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-4

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Solution

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4

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

∣ ∣ ∣ ∣ ∣ ∣ \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} 2 & - 1 & 4 4 & 2 & - 3 1 & 1 & 2 \end{matrix} ∣ ∣ ∣ ∣

Δ_{o} =

⎡ ⎢ ⎣ \begin{matrix} a_{11} & a_{12} & a_{13} a_{21} & a_{22} & a_{23} a_{31} & a_{32} & a_{33} \end{matrix} ⎤ ⎥ ⎦

Δ_{1}

Δ_{0}

Δ_{2}

Δ_{1},

Δ_{n}

Δ_{n - 1}

Δ_{n}

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