imo class 12 determinants

The determinant |1 a a²; 1 b b²; 1 c c²| is equal to:

VAVidaara Admin Asked 6d ago 0 views 0 answers

The determinant |1 a a²; 1 b b²; 1 c c²| is equal to:

  • A. (a−b)(b−c)(c−a)
  • B. (a+b)(b+c)(c+a)
  • C. abc
  • D. a+b+c

Answer: A) (a−b)(b−c)(c−a)

Explanation: This is the Vandermonde determinant, which equals (a−b)(b−c)(c−a).

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