imo class 12 determinants

If |A| = 0, is the inverse of A possible?

VAVidaara Admin Asked 9d ago 0 views 0 answers
#IMO#Class 12#Mathematics#Determinants#logical-reasoning

If |A| = 0, is the inverse of A possible?

  • A. Yes, always
  • B. Only if it is a 2x2 matrix
  • C. No, never
  • D. Only if adj A is zero

Answer: C) No, never

Explanation: A matrix with determinant 0 is singular, and a singular matrix does not have an inverse.

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