Q29.An inner product on a vector space V satisfies positive-definiteness, additivity in the first input, symmetry, and scalar homogeneity. Let V=R2 and define ⟨(x1,x2),(y1,y2)⟩=x1y1−x2y1−x2y2. Which conditions are satisfied?
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Q29
6 Aug 2023
Q29.An inner product on a vector space V satisfies positive-definiteness, additivity in the first input, symmetry, and scalar homogeneity. Let V=R2 and define ⟨(x1,x2),(y1,y2)⟩=x1y1−x2y1−x2y2. Which conditions are satisfied?
