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Mathematics · 2024 · 1 mark

CBSE 2024 · Region 4 · Set 2 · Q4

If A =[ a_ij ]= [2, -1, 5; 1, 3, 2; 5, 0, 4] and c_ij is the cofactor of element a_ij, then the value of a_21 · c_11+ a_22 · c_12+ a_23 · c_13 is:

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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