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3 and 4 . determinant and metrices — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths3 and 4 . determinant and metrices1 Mark
MCQ
In the determinant $\left| {\,\begin{array}{*{20}{c}}0&1&{ - 2}\\{ - 1}&0&3\\2&{ - 3}&0\end{array}\,} \right|$, the ratio of the co-factor to its minor of the element $-3$ is
  • ✓
    $-1$
  • B
    $0$
  • C
    $1$
  • D
    $2$
✓

Answer

Correct option: A.
$-1$
a
(a) Ratio of cofactor to its minor of the element $-3$, which is in the $3^{rd}$ row and $2^{nd}$ column = ${( - 1)^{3 + 2}} = - 1$.

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