A) \[25\]
B) \[24\]
C) \[23\]
D) \[21\]
Correct Answer: D
Solution :
[d] \[\left[ \begin{matrix} {{x}^{2}}+x & 3x-1 & -x+3 \\ 2x+1 & 2+{{x}^{2}} & {{x}^{3}}-3 \\ x-3 & {{x}^{2}}+4 & 3x \\ \end{matrix} \right]={{a}_{0}}+{{a}_{1}}x+{{a}_{2}}{{x}^{2}}\] \[+.........+{{a}_{7}}{{x}^{7}}\] Put \[x=0\Rightarrow \,\,\left| \begin{matrix} 0 & -1 & 3 \\ 1 & 2 & -3 \\ -3 & 4 & 0 \\ \end{matrix} \right|={{a}_{0}}\,\,\,\,\Rightarrow \,\,\,\,{{a}_{0}}=21\]
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