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(B) The cofactor $C_{ij}$ is given by $(-1)^{i+j} M_{ij}$, where $M_{ij}$ is the minor of element $a_{ij}$.Step $1$: Calculate $C_{11} = (-1)^{1+1} \b

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$2$

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(B) The cofactor $C_{ij}$ is given by $(-1)^{i+j} M_{ij}$, where $M_{ij}$ is the minor of element $a_{ij}$.Step $1$: Calculate $C_{11} = (-1)^{1+1} \begin{vmatrix} 2 & 0 \ 1 & 4 \end{vmatrix} = (1)(8 - 0) = 8$.Step $2$: Calculate $C_{21} = (-1)^{2+1} \begin{vmatrix} 1 & 2 \ 1 & 4 \end{vmatrix} = (-1)(4 - 2) = -2$.Step $3$: Calculate $C_{32} = (-1)^{3+2} \begin{vmatrix} 3 & 2 \ 1 & 0 \end{vmatrix} = (-1)(0 - 2) = 2$.Step $4$: Substitute these values into the given equation $pC_{11} + 4C_{21} - 5C_{32} = -2$.$p(8) + 4(-2) - 5(2) = -2$.$8p - 8 - 10 = -2$.$8p - 18 = -2$.$8p = 16$.$p = 2$.

Let $A = \begin{bmatrix} 3 & 1 & 2 \\ 1 & 2 & 0 \\ 1 & 1 & 4 \end{bmatrix}$ and $pC_{11} + 4C_{21} - 5C_{32} = -2$, where $C_{ij}$ denotes the cofactor of an element $a_{ij}$ of matrix $A$. Find the value of $p$.

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