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Matrices & Determinants

JEE Main level, single correct, medium

3 of 3

Question 3 of 3

If $A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}$ , then value of $\det(A^2)$ is:

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Answer: (A) $4$

\det(A) = 1(4) - 2(3) = -2

\det(A^2) = (\det A)^2 = (-2)^2 = 4

JEE Main question paper PDF

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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 A=(1234)A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}A=(13​24​), then value of det⁡(A2)\det(A^2)det(A2) is:

JEE Main question paper PDF

More Mathematics practice

If $A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}$ , then value of $\det(A^2)$ is: