NDA 2016 Mathematics question
Which of the following is correct in respect of the system of equations , and ? 1. They have no solution, if . 2. They have infinitely many solutions, if . 3. They have unique solution, if . Select the correct answer using the code given below :
Answer: (A)
Solution
The third equation's coefficients satisfy , i.e. (third row) (first row) (second row), so the coefficient determinant is 0 and a unique solution is never possible (statement
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