Determine if the function defines an inner product on R2, where u = (u, v) = 1V1 satisfies (u, v) = (v, u) does not sati

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Determine If The Function Defines An Inner Product On R2 Where U U V 1v1 Satisfies U V V U Does Not Sati 1 (24.65 KiB) Viewed 17 times

Determine if the function defines an inner product on R2, where u = (u, v) = 1V1 satisfies (u, v) = (v, u) does not satisfy (u, v) = (v, u) satisfies (u, v + w) = (u, v) + (u, w) does not satisfy (u, v + w) = (u, v) + (u, w) satisfies c(u, v) = (cu, v) O does not satisfy c(u, v) = (cu, v) satisfies (v, v) ≥ 0, and (v, v) = 0 if and only if v = 0 does not satisfy (v, v) ≥ 0, and (v, v) = 0 if and only if v = 0 (U₁, U₂) and v= (V₁, V₂). (Select all that apply.)