If the determinant of a matrix A is 1, then it is a-

Options :
  1. Unitary Matrix
  2. Identity Matrix
  3. Unit Matrix
  4. Orthogonal Matrix

Answer and Explanation :-

Answer: Option 3


Though the determinant of all the above matrices is 1, simply having determinant equal to 1 is not a SUFFICIENT condition to have either Unitary, Identity or Orthogonal Matrix. It is just a NECESSARY condition required for each one of them( except the unit matrix for which this is a SUFFICIENT and NECESSARY condition).

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