Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

Let $P=\left[a_{i j}\right]$ be a $3 \times 3$ matrix and let $Q=\left[b_{i j}\right]$ where $b_{i j}=2^{i+j} a_{i j} ~\forall ~1 ≤ i, j ≥ 3$. If the determinant of P is 2, then the determinant of Q is:

Options:

$2^{13}$

$2^{12}$

$2^{11}$

$2^{10}$

Correct Answer:

$2^{13}$

Explanation:

The correct answer is Option (1) → $2^{13}$