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Matrices and Determinants question

2023 · 12 Apr · Shift 1 · Q35

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JEE Main
Mathematics
Matrices and Determinants
2023 · 12 Apr · Shift 1 · Q35

Matrices and Determinants question

2023 · 12 Apr · Shift 1 · Q35

JEE MainMathematicsMatrices and DeterminantsNumerical+4 / −1

Let

\mathrm{D}_{\mathrm{k}}=\left|\begin{array}{ccc}1 & 2 k & 2 k-1 \\ n & n^{2}+n+2 & n^{2} \\ n & n^{2}+n & n^{2}+n+2\end{array}\right|

. If

\sum_{k=1}^{n} \mathrm{D}_{\mathrm{k}}=96

, then

n

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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