What is the rank of the linear transformation T:R4→R3T: \mathbb{R}^4 \to \mathbb{R}^3T:R4→R3 defined by T(x,y,z,w)=(x+y,y+z,z+w)T(x,y,z,w) = (x+y, y+z, z+w)T(x,y,z,w)=(x+y,y+z,z+w)?
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