Let \( \mathrm{M} \) be a \( 3 \times 3 \) invertible matrix with real entries and let I denote ...

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Let \( \mathrm{M} \) be a \( 3 \times 3 \) invertible matrix with real entries and let I denote the \( 3 \times 3 \) identity matrix. If \( \mathrm{M}^{-1}= \) adj (adj M), then which of the following statement is/are ALWAYS TRUE?
(A) \( \mathrm{M}=\mathrm{I} \)
(C) \( M^{2}=I \)
(B) det \( \mathrm{M}=1 \)
(D) \( (\operatorname{adj} M)^{2}=I \)
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