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CBSE 2024 · Region 4 · Set 2 · Q4 · 1 mark

If $\displaystyle \mathrm{A}=\left[\mathrm{a}_{\mathrm{ij}}\right]=\left[\begin{array}{ccc}2 & -1 & 5 \\ 1 & 3 & 2 \\ 5 & 0 & 4\end{array}\right]$ and $\displaystyle \mathrm{c}_{\mathrm{ij}}$ is the cofactor of element $\displaystyle \mathrm{a}_{\mathrm{ij}}$, then the value of $\displaystyle \mathrm{a}_{21} \cdot \mathrm{c}_{11}+\mathrm{a}_{22} \cdot \mathrm{c}_{12}+\mathrm{a}_{23} \cdot \mathrm{c}_{13}$ is :

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