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Determinants — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSDeterminants2 Marks
Question
Using cofactors of elements of second row, evaluate $\Delta=\left|\begin{array}{lll}5 & 3 & 8 \\ 2 & 0 & 1 \\ 1 & 2 & 3\end{array}\right|$
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Answer

$\Delta = {a_{21}}{A_{21}} + {a_{22}}{A_{22}} + {a_{23}}{A_{23}}$
$ = - 2\left( {9 - 16} \right) + 0\left( {15 - 8} \right) - 1\left( {10 - 3} \right)$
$ = 14 + 0 - 7$
= 7.
Which is the required solution.

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