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Mathematics · 2024 · 1 mark

CBSE 2024 · Region 1 · Set 2 · Q6

If a_ij and A_ij represent the (ij)th element and its cofactor of [2, -3, 5; 6, 0, 4; 1, 5, -7] respectively, then the value of a_11 A_21+ a_12 A_22+…

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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