Let A, B, C, D be (not necessarily square) real matrices such that \[{{A}^{T}}=BCD;\text{ }{{B}^{T}}=CDA;\] \[{{C}^{T}}=DAB\] and \[{{D}^{T}}=ABC\] for the matrix \[S=ABCD,{{S}^{3}}=\]

Let A, B, C, D be (not necessarily square) real matrices such that \[{

1.	Let A, B, C, D be (not necessarily square) real matrices such that \[{{A}^{T}}=BCD;\text{ }{{B}^{T}}=CDA;\] \[{{C}^{T}}=DAB\] and \[{{D}^{T}}=ABC\] for the matrix \[S=ABCD,{{S}^{3}}=\]
A.	I
B.	\[{{S}^{2}}\]
C.	S
D.	O
Answer» D. O

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Let A, B, C, D be (not necessarily square) real matrices such that \[{{A}^{T}}=BCD;\text{ }{{B}^{T}}=CDA;\] \[{{C}^{T}}=DAB\] and \[{{D}^{T}}=ABC\] for the matrix \[S=ABCD,{{S}^{3}}=\]

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