imo class 12 determinants

If |A| = 0 and (adj A)B ≠ O, the system of equations AX = B is:

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If |A| = 0 and (adj A)B ≠ O, the system of equations AX = B is:

  • A. Consistent with unique solution
  • B. Consistent with infinite solutions
  • C. Inconsistent (no solution)
  • D. Trivial

Answer: C) Inconsistent (no solution)

Explanation: This is the mathematical condition for an inconsistent system, meaning the lines or planes do not intersect at a common point.

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