An inner product on V satisfies positive-definiteness, additivity, symmetry, and homogeneity. Let V=R2 and define ⟨(x1,x2),(y1,y2)⟩=x1y1−x1y2−x2y1+x2y2. Which conditions are satisfied?
Q40
10 Jul 2022
Mathematics 2 · Week 7
Q40.An inner product on V satisfies positive-definiteness, additivity, symmetry, and homogeneity. Let V=R2 and define ⟨(x1,x2),(y1,y2)⟩=x1y1−x1y2−x2y1+x2y2. Which conditions are satisfied?
