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JEE MAIN 2026
28-1-2026 S1
Question
Let $\mathrm{A}_2 \mathrm{~B}$ and $C$ be three $2 \times 2$ matrices with real entries such that $B=(I+A)^{-1}$ and $\mathrm{A}+\mathrm{C}=\mathrm{I}$. If $\mathrm{BC}=\left[\begin{array}{cc}1 & -5 \\ -1 & 2\end{array}\right]$ and $\mathrm{CB}\left[\begin{array}{l}x_1 \\ x_2\end{array}\right]=\left[\begin{array}{l}12 \\ -6\end{array}\right]$, then $x_1+x_2$ is
Select the correct option:
A
2
B
$0$
C
-2
D
4
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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Question Tags
JEE Main
Mathematics
Hard
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