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TS EAMCET · Maths · Matrices

If \(A\) is a non singular matrix, then \(\operatorname{Adj}\left(A^{-1}\right)=\)

  1. A \((\operatorname{Adj} A)^{-1}\)
  2. B \(\frac{1}{|A|} A^{-1}\)
  3. C \(|\mathbf{A}| \mathbf{A}^{-1}\)
  4. D \(|\mathbf{A}| \mathbf{A}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \((\operatorname{Adj} A)^{-1}\)

Step-by-step Solution

Detailed explanation

\(\operatorname{Adj}\left(A^{-1}\right)=(\operatorname{Adj} A)^{-1}\) (Property).