Show that the function (V, V) = 12 + 2y192-122 +2w1W2 defined for any vectors V...

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Show that the function (V₁, V₂) = 12 + 2y192-122 +2w1W2 defined for any vectors V₁ = (x1, y₁, 2₁, W₁) and v₂ = (x2, 92, 22, W₂) in vector space R4 is not an v2 inner product. Hint. Indicate which axiom(s) of inner product space is(are) not satisfied and give an example of the vector(s) which do(es) not satisfy the axiom(s). (2 marks) Show that the function (V₁, V₂) = 12 + 2y192-122 +2w1W2 defined for any vectors V₁ = (x1, y₁, 2₁, W₁) and v₂ = (x2, 92, 22, W₂) in vector space R4 is not an v2 inner product. Hint. Indicate which axiom(s) of inner product space is(are) not satisfied and give an example of the vector(s) which do(es) not satisfy the axiom(s). (2 marks)

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The function V V is an inner product if the following conditions axiom are satisfied 1 V V V2 V 2 ... View the full answer