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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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Knowledge Check

  • If x=40, y=43, z=47 , find the value of x^3+y^3+z^3-3xyz .

    A
    1300
    B
    4520
    C
    4910
    D
    4810
  • If x + y + z = 6 and xy + yz = 10, then the value of x ^(3) + y ^(3) z ^(3)- 3xyz is :

    A
    48
    B
    40
    C
    42
    D
    36
  • If x + y + z = 6 and x^2 + y^2 + z^2= 20 then the value of x^3 + y^3 + z^3 - 3xyz is

    A
    64
    B
    70
    C
    72
    D
    76
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    if x = 332 , y= 333 , z, =335 then the value of x^3 + y^3 +z^3- 3 xyz is

    If x + y + z = 6 and x^(2) + y^(2)+ z^(2) = 20 then the value of x^(3) + y^(3) + z^(3) - 3 xyz is

    The value of x+ y + z is 2 and xy + yz + zx is 11 , then find the value of x^3 + y^3 + z^3 - 3xyz .