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Matrices and Determinants question

2010 · Shift 0 · Q37

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JEE Main
Mathematics
Matrices and Determinants
2010 · Shift 0 · Q37

Matrices and Determinants question

2010 · Shift 0 · Q37

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Consider the system of linear equations;

\begin{matrix} {{x_1} + 2{x_2} + {x_3} = 3} \\ {2{x_1} + 3{x_2} + {x_3} = 3} \\ {3{x_1} + 5{x_2} + 2{x_3} = 1} \\ \end{matrix}

The system has :

A
exactly $3$ solutions
B
a unique solution
C
no solution
D
infinitenumber of solutions

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