LA2Quick check●●○○○new1 Quotients and direct sumsT(x,y,z)=(x+y,y+z,2z)T(x, y, z) = (x + y, y + z, 2z)T(x,y,z)=(x+y,y+z,2z) and U=span{e1,e2}U = \operatorname{span}\{e_1, e_2\}U=span{e1,e2}. Is UUU invariant? Find χTˉ\chi_{\bar T}χTˉ.