Mathematics · 2026
JEE Main · 4 April 2026, Shift 1 · Q5
Let S ={ A = [a, b; c, d]: a, b, c, d ∈{0,1,2,3,4}. and. A^2-4 A +3 I =0} be a set of 2 × 2 matrices. Then the number of matrices in S, for which the…
Let $\displaystyle \mathrm{S}=\left\{\mathrm{A}=\left[\begin{array}{ll}a & b \\ c & d\end{array}\right]: a, b, c, d \in\{0,1,2,3,4\}\right.$ and $\displaystyle \left.\mathrm{A}^2-4 \mathrm{~A}+3 \mathrm{I}=0\right\}$
be a set of $\displaystyle 2 \times 2$ matrices. Then the number of matrices in S , for which the sum of the diagonal elements is equal to $\displaystyle 4$ , is:
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle 19$
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.