QuestionLet ⟨⋅,⋅⟩\langle\cdot,\cdot\rangle denote the standard inner product on R2\mathbb{R}^2, i.e., ⟨(x1,x2),(y1,y2)⟩=x1y1+x2y2\langle(x_1,x_2),(y_1,y_2)\rangle=x_1y_1+x_2y_2. For v∈R2v\in\mathbb{R}^2, consider a linear transformation Tv:R2→RT_v:\mathbb{R}^2\to\mathbb{R} defined as Tv(u)=⟨u,v⟩T_v(u)=\langle u,v\rangle. Which options are true for TvT_v?
