A) 5, 1, 8
B) 6, 0, -3
C) 5, 6, 4
D) None of these
Correct Answer: B
Solution :
Given\[\Delta =\left| \begin{matrix} 2 & -1 & 4 \\ 4 & 2 & -3 \\ 1 & 1 & 2 \\ \end{matrix} \right|\] Cofactors of the elements of second row of the given determinant. \[{{a}_{21}}=-\left| \begin{matrix} -1 & 4 \\ 1 & 2 \\ \end{matrix} \right|=-(-2-4)=6\] \[{{a}_{22}}=\left| \begin{matrix} 2 & 4 \\ 1 & 2 \\ \end{matrix} \right|=4-4=0\] \[{{a}_{23}}=-\left| \begin{matrix} 2 & -1 \\ 1 & 1 \\ \end{matrix} \right|=-(2+1)=-3\]
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