Which one of the following is correct ? If A is non-singular matrix, then, :

Mathematics · JEE Advanced · NTA ExamsMatrices and Determinants

Which one of the following is correct ? If A is non-singular matrix, then, :
  1. det (A–1) = det (A)
  2. det (A–1) = \(\frac{1}{\operatorname{det}(\mathrm{~A})}\)
  3. det (A–1) = 1
  4. none of these

Answer

(B) det (A –1 ) = 1 det ( ~A )

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