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CBSE 2024 · Region 1 · Set 2 · Q6 · 1 mark

If $\displaystyle \mathrm{a}_{\mathrm{ij}}$ and $\displaystyle \mathrm{A}_{\mathrm{ij}}$ represent the (ij)th element and its cofactor of $\displaystyle \left[\begin{array}{rrr}2 & -3 & 5 \\ 6 & 0 & 4 \\ 1 & 5 & -7\end{array}\right]$ respectively, then the value of $\displaystyle \mathrm{a}_{11} \mathrm{A}_{21}+\mathrm{a}_{12} \mathrm{A}_{22}+\mathrm{a}_{13} \mathrm{A}_{23}$ is :

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