The determinant of a 4 × 4 matrix A is 3. The value of the determinant of 2A is ____________. (answer in integer)

GATE CSE 2026 Session 2 Q62: Determinant of 2A for a 4×4 matrix with det A = 3

The determinant of a $4 \times 4$ matrix A is 3. The value of the determinant of 2A is ____________. (answer in integer)

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Answer: 48 (official GATE 2026 final answer key)

Concept used: For an $n \times n$ matrix, $\det(kA) = k^n \det(A)$ .

First step: Each of the 4 rows is scaled by 2, so the determinant is multiplied by $2^4$ .

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Source: official GATE 2026 Session 2 CS question paper and final answer key, organised by IIT Guwahati. Question paper · Answer key