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One of these four operations alters the value of a determinant. Which is it?

  • A.adding a multiple of one row to another
  • B.transposing the whole matrix
  • C.adding a multiple of one column to another
  • D.multiplying a single row by a scalar

Answer: D

Scaling one row scales the determinant by the same factor, whereas the other three leave the value untouched. It is the distinction that makes elimination safe for determinant evaluation while scaling requires a compensating factor.

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