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If A=[(x,y,z),(y,z,x),(z,x,y)] and A^2=I...

If `A=[(x,y,z),(y,z,x),(z,x,y)]` and `A^2=I_3` and `xyz=2` and `x+y+z gt 0` find the value of `x^3+y^3+z^3` is

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