Q12Multiple correct2 Marks3 Dec 2023Which of the following functions are linear transformations?AT:R→RT:\mathbb{R}\to\mathbb{R}T:R→R, T(x)=2x+1T(x)=2x+1T(x)=2x+1.BT:R4→R2T:\mathbb{R}^4\to\mathbb{R}^2T:R4→R2, T(x,y,z,w)=(x+y,z+w)T(x,y,z,w)=(x+y,z+w)T(x,y,z,w)=(x+y,z+w).CT:R3→R3T:\mathbb{R}^3\to\mathbb{R}^3T:R3→R3, T(x,y,z)=(−y,−x,0)T(x,y,z)=(-y,-x,0)T(x,y,z)=(−y,−x,0).DT:R→R2T:\mathbb{R}\to\mathbb{R}^2T:R→R2, T(x)=(x+1,x−1)T(x)=(x+1,x-1)T(x)=(x+1,x−1).
