Q166 / 270 · NDA 2023 (Phase 2) · Mathematics

If all elements of a third order determinant are equal to 1 or –1, then the value of the determinant is:

  • A
    0 only
  • Correct answer
    B
    an even number but not necessarily 0
  • C
    an odd number
  • D
    0, 1 or –1

Solution

Since, all the elements of 3 × 3 matrix is –1 or 1 then determinent of the matrix is always an even number.

Hence, the correct answer is option: 'B'.

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