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CUET
-- Mathematics - Section B1
Determinants
Evaluate $\Delta = \begin{vmatrix} 3 & 2 & 3 \\ 2 & 2 & 3 \\ 3 & 2 & 3 \end{vmatrix}$.
3
2
0
18
The correct answer is Option (3) → 0 ##
Expanding along first row, we get
$\Delta = 3(6 - 6) - 2(6 - 9) + 3(4 - 6)$
$= 0 - 2(-3) + 3(-2) = 6 - 6 = 0$