Let \( I_{n} \) is a \( (n \times n) \) identity matrix and \( O_{n} \) is a \( (n \times n) \) ...

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Let \( I_{n} \) is a \( (n \times n) \) identity matrix and \( O_{n} \) is a \( (n \times n) \) null matrix consider, \( A=\left[\begin{array}{ccc}B & O_{2} & O_{2} \\ O_{2} & B & O_{2} \\ O_{2} & O_{2} & B\end{array}\right], B=\left[\begin{array}{ll}I_{1} & O_{1} \\ O_{1} & I_{1}\end{array}\right] \) then which is correct
(a) \( \operatorname{det}(A)=B \)
(b) \( \operatorname{det}(\operatorname{det}(A))=M \) then, \( M \cdot M^{T} \neq M^{T} \cdot M \)
(c) \( \operatorname{det}(B)=\operatorname{det}\left(I_{1}\right) \)
(d) None of these
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