imo class 12 determinants

For a system of linear equations AX = B, if |A| ≠ 0, the system has:

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For a system of linear equations AX = B, if |A| ≠ 0, the system has:

  • A. No solution
  • B. Infinitely many solutions
  • C. A unique solution
  • D. Two solutions

Answer: C) A unique solution

Explanation: When |A| ≠ 0, the matrix A is invertible, and the system has a unique solution X = A⁻¹B.

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