JEE Main 2022 Mathematics question
The number of real values of , such that the system of linear equations 2x − 3y + 5z = 9 x + 3y − z = −18 has no solution, is
Answer: (3)
Solution
The system has no solution when the coefficient determinant is zero (and the system is inconsistent). The determinant is |2 −3 5; 1 3 −1; 3 −1 $λ ^{2} - |λ || = 9λ ^{2} - 9|λ | - 43 = 9|λ |^{2} -
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