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Matrices & Determinants

JEE Main level, numerical answer, medium

2 of 3

Question 2 of 3

If $A$ is a $3 \times 3$ matrix such that $\det(A) = 4$ , then the value of $\det(2A)$ is:

Show answer and solution

Answer: 32

For an

n \times n

matrix,

\det(kA) = k^n \det(A)

. Here

n=3

, so

\det(2A) = 2^3 \det(A) = 8 \times 4 = 32

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JEE Main 2025 Apr 2 Shift 1 question paper

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JEE Main Mathematics practice question on Matrices & Determinants, with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.

If AAA is a 3×33 \times 33×3 matrix such that det⁡(A)=4\det(A) = 4det(A)=4, then the value of det⁡(2A)\det(2A)det(2A) is:

JEE Main question paper PDF

More Mathematics practice

If $A$ is a $3 \times 3$ matrix such that $\det(A) = 4$ , then the value of $\det(2A)$ is: