16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 9.3.8

Operators on Inner Product Spaces

Mathematics — Linear Algebra · inner-product-test

Problem

Does ⟨(x1,x2)∣(y1,y2)⟩=x1yˉ1+2x2yˉ1+2x1yˉ2+x2yˉ2\langle (x_1, x_2) | (y_1, y_2) \rangle = x_1\bar{y}_1 + 2x_2\bar{y}_1 + 2x_1\bar{y}_2 + x_2\bar{y}_2 define an inner product on C2C^2?

Related theory

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