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JEE MAIN 2024
25-6-2022 S1
Question
Let $A$ be $a \times 3$ real matrix such that $A\left(\begin{array}{l}1 \\ 1 \\ 0\end{array}\right)=\left(\begin{array}{l}1 \\ 1 \\ 0\end{array}\right) ; A\left(\begin{array}{l}1 \\ 0 \\ 1\end{array}\right)=\left(\begin{array}{c}-1 \\ 0 \\ 1\end{array}\right)$ and $A\left(\begin{array}{l}0 \\ 0 \\ 1\end{array}\right)=\left(\begin{array}{l}1 \\ 1 \\ 2\end{array}\right)$. If $X=\left(X_1, X_2, X_3\right)^{\top}$ and $I$ is an identity matrix of order 3 , then the system $(A-2 I) X=\left(\begin{array}{l}4 \\ 1 \\ 1\end{array}\right)$ has
Select the correct option:
A
no solution
B
infinitely many solutions
C
unique solution
D
exactly two solutions
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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Question Tags
JEE Main
Mathematics
Medium
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