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Q. The value of $ \left| \begin{matrix} 43 & 1 & 6 \\ 35 & 7 & 4 \\ 17 & 3 & 2 \\ \end{matrix} \right| $ is

Rajasthan PETRajasthan PET 2003

Solution:

$ \left| \begin{matrix} 43 & 1 & 6 \\ 35 & 7 & 4 \\ 17 & 3 & 2 \\ \end{matrix} \right| $
$ =43(14-12)-1(70-68)+6(105-119) $
$ =43\times 2-1\times 2+6\times -14 $
$ =86-2-84=0 $