QuestionAn inner product on VV satisfies positive-definiteness, additivity, symmetry, and homogeneity. Let V=R2V=\mathbb{R}^2 and define ⟨(x1,x2),(y1,y2)⟩=x1y1−x1y2+x2y2\langle(x_1,x_2),(y_1,y_2)\rangle=x_1y_1-x_1y_2+x_2y_2. Which conditions are satisfied?