JEE Main 2010Annual, Paper 1MathematicsEasyMatrices and Determinants245× since 2002Consider the system of linear equations; x1+2x2+x3=32x1+3x2+x3=33x1+5x2+2x3=1\matrix{ {{x_1} + 2{x_2} + {x_3} = 3} \cr {2{x_1} + 3{x_2} + {x_3} = 3} \cr {3{x_1} + 5{x_2} + 2{x_3} = 1} \cr }x1+2x2+x3=32x1+3x2+x3=33x1+5x2+2x3=1 The system has :AOption A. exactly 333 solutionsBOption B. a unique solutionCOption C. no solutionDOption D. infinitenumber of solutionsCheckSkip · show solution