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What is the cofactor of an element of a determinant?

  • A.the reciprocal of its minor
  • B.its minor with a sign depending on its position
  • C.its minor with the sign always positive
  • D.the element itself multiplied by the determinant

Answer: B

The sign is positive when the sum of the row and column indices is even and negative when odd, giving the familiar chequerboard pattern. Expansion of the determinant is the sum of the products of a row's elements with their own cofactors.

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