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 Options: A . &nbsp4 B . &nbsp-10 C . &nbsp10 D . &nbsp-4

The cofactor of the element '4' in the determinant ∣∣ &#

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} ∣ ∣∣∣∣ ∣

Options:

A . 4

B . -10

C . 10

D . -4

Answer: Option C
:
C
The cofactor of element 4, in the

2^{n d}

row and

3^{r d}

column is

= (- 1)^{2 + 3} ∣ ∣∣ ∣ \begin{matrix} 1 & 3 & 1 8 & 0 & 1 0 & 2 & 1 \end{matrix} ∣ ∣∣ ∣

= - {1(-2)-3(8-0)+1.16}
=10.

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