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3 and 4 .Determinants and Matrices
easy
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
A
$-1$
B
$0$
C
$1$
D
$2$
Solution
(a) Ratio of cofactor to its minor of the element $-3$, which is in the $3^{rd}$ row and $2^{nd}$ column = ${( – 1)^{3 + 2}} = – 1$.
Standard 12
Mathematics
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