Let A,B,C,D be real matrices such that `A^(T)=BCD,B^(T)=CDA,C^(T)=DAB and D^(T)=ABC` for the matrix

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Let A,B,C,D be real matrices such that `A^(T)=BCD,B^(T)=CDA,C^(T)=DAB and D^(T)=ABC` for the matrix M=ABCD then find `M^(3)`?
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