Let \( A \) be an invertible matrix. Which of the is not \( \mathrm...

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Let \( A \) be an invertible matrix. Which of the is not
\( \mathrm{P} \) true?

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(A) \( \quad\left(\mathrm{A}^{\mathrm{T}}\right)^{-1}=\left(\mathrm{A}^{-1}\right)^{\mathrm{T}} \)
(B) \( \quad \mathrm{A}^{-1}=|A|^{-1} \)
(C) \( \quad\left(\mathrm{A}^{2}\right)^{-1}=\left(\mathrm{A}^{-1}\right)^{2} \)
(D) \( \left|\mathrm{A}^{-1}\right|=|\mathrm{A}|^{-1} \)
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