\( \operatorname{Suppose} a, b, c \in \mathbf{R} \) and \( a b c=1 ...

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\( \operatorname{Suppose} a, b, c \in \mathbf{R} \) and \( a b c=1 \). If \( A=\left[\begin{array}{ccc}2 a & b & c \\ b & 2 c & a \\ c & a & 2 b\end{array}\right] \) is such that \( A^{\prime} A=4^{1 / 3} I \) and \( |A|0 \), then the value of \( -a^{3}+b^{3}+c^{3} \) is
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