A) 8
B) \[-8\]
C) 400
D) 1
Correct Answer: B
Solution :
\[\left| \begin{matrix} {{1}^{2}} & {{2}^{2}} & {{3}^{2}} \\ {{2}^{2}} & {{3}^{2}} & {{4}^{2}} \\ {{3}^{2}} & {{4}^{2}} & {{5}^{5}} \\ \end{matrix} \right|=\left| \begin{matrix} 1 & 4 & 9 \\ 4 & 9 & 16 \\ 9 & 16 & 25 \\ \end{matrix} \right|\] \[=\left| \begin{matrix} 1 & 4 & 9 \\ 3 & 5 & 7 \\ 5 & 7 & 9 \\ \end{matrix} \right|[{{R}_{3}}\to {{R}_{3}}-{{R}_{2}},{{R}_{2}}\to {{R}_{2}}-{{R}_{1}}]\] \[=1(45-49)-4(27-35)+9(21-25)\] \[=-4-4(-8)+9(-4)\] \[=-4+32-36=-8\]You need to login to perform this action.
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