1.
Let a,b,cRa, b, c \in \mathbb{R} be all non-zero and satisfy a3+b3+c3=2a^3 + b^3 + c^3 = 2. If the matrix A=(abcbcacab)A = \begin{pmatrix} a & b & c \\ b & c & a \\ c & a & b \end{pmatrix} satisfies ATA=IA^T A = I, then a value of abcabc can be: