Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

Evaluate $\Delta = \begin{vmatrix} 3 & 2 & 3 \\ 2 & 2 & 3 \\ 3 & 2 & 3 \end{vmatrix}$.

Options:

3

2

0

18

Correct Answer:

0

Explanation:

The correct answer is Option (3) → 0 ##

Expanding along first row, we get

$\Delta = 3(6 - 6) - 2(6 - 9) + 3(4 - 6)$

$= 0 - 2(-3) + 3(-2) = 6 - 6 = 0$