What is the rank of the linear operator T:R3→R3T: \mathbb{R}^3 \to \mathbb{R}^3T:R3→R3 defined by T(x,y,z)=(x+y,x+y,x+y)T(x, y, z) = (x+y, x+y, x+y)T(x,y,z)=(x+y,x+y,x+y)?
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