Mathematics · 2022
JEE Main · 26 July 2022, Shift 1 · Q4
Let A be a 2 × 2 matrix with det ( A )=-1 and det (( A + I )( Adj ( A )+ I ))=4. Then the sum of the diagonal elements of A can be:
Let A be a $\displaystyle 2 \times 2$ matrix with $\displaystyle \operatorname{det}(\mathrm{A})=-1$ and $\displaystyle \operatorname{det}((\mathrm{A}+\mathrm{I})(\operatorname{Adj}(\mathrm{A})+\mathrm{I}))=4$. Then the sum of the diagonal elements of A can be :
Official answer
(2)
$\displaystyle 2$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.