Let p,q,r in N and if the system of equa...

Let `p,q,r in N` and if the system of equations `px+2qy+3rz=0, 2qx+3ry+pz=0, 3rx+py+2qz=0` has non-trivial solutions and `p+2q+3r!=0` then the minimum value of `p+q+r` is

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Let `p,q,r in N` and if the system of equations `px+2qy+3rz=0, 2qx+3ry+pz=0, 3rx+py+2qz=0` has non-trivial solutions and `p+2q+3r!=0` then the minimum value of `p+q+r` is

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