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A student forms the adjoint by taking cofactors without transposing. The computed inverse will be

  • A.the negative of the correct inverse
  • B.the correct inverse scaled by the determinant
  • C.the transpose of the correct inverse
  • D.the correct inverse, transposition being immaterial

Answer: C

Omitting the transposition leaves every entry in the wrong position, so the result is the transpose of the true inverse. It coincides with the correct answer only when the matrix is symmetric, which is why the slip sometimes escapes notice.

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