ISRO Electrical Engineering (EE) 2023 - Question 28

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The number of non-trivial solutions of the system x - y + z = 0, x + 2y - z = 0, 2x + y + 3z = 0

  • A. 0
  • B. 1
  • C. 2
  • D. 3

Answer: A. 0

Explanation: Determinant of coefficient matrix = 1(6+1) - (-1)(3+2) + 1(1-4) = 7 + 5 - 3 = 9 ≠ 0. Since det ≠ 0, only trivial solution exists (0 non-trivial solutions).

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