Let x, y = R. Determine in each case below if (x, y) is an inner...

 

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Let x, y = R". Determine in each case below if (x, y) is an inner product for R". In case it is not then indicate which axioms are not satisfied. n (a) * (x, y) = xi|yi| i=1 n (b) (x, y) = xyi (c) † (x, y) = i=1 i=1 Ii TL Στα i=1 1/2 (d) (x, y) = ΣΕ Σ i=1 i=1 72 (e) f (x,y) = Σ(x+y)-Σ-Σ i=1 Let x, y = R". Determine in each case below if (x, y) is an inner product for R". In case it is not then indicate which axioms are not satisfied. n (a) * (x, y) = xi|yi| i=1 n (b) (x, y) = xyi (c) † (x, y) = i=1 i=1 Ii TL Στα i=1 1/2 (d) (x, y) = ΣΕ Σ i=1 i=1 72 (e) f (x,y) = Σ(x+y)-Σ-Σ i=1

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An inner product on a real vector space V is a function that takes in two vectors x y V and returns ... View the full answer