Q51Comprehension1 Mark20 Nov 2022PassageConsider T:R3→R2T:\mathbb{R}^3\to\mathbb{R}^2T:R3→R2 and S:R2→R3S:\mathbb{R}^2\to\mathbb{R}^3S:R2→R3 given by T(x,y,z)=(x+y,y+z)T(x,y,z)=(x+y,y+z)T(x,y,z)=(x+y,y+z) and S(x,y)=(x,y,x+y)S(x,y)=(x,y,x+y)S(x,y)=(x,y,x+y). Let β\betaβ and γ\gammaγ be the standard ordered bases of R3\mathbb{R}^3R3 and R2\mathbb{R}^2R2.Find the rank of S∘TS\circ TS∘T.Your answerPress Enter to check.
