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?
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Q40
10 Jul 2022
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?