Show that the function (V₁, V₂) = x1x2 + 2y1Y2 - 2122 +2w1w₂2 defined for any vectors V₁ = (₁, ₁, 2₁, W₁) and V₂ = (x2,
Posted: Wed Jul 06, 2022 11:51 am
Show that the function (V₁, V₂) = x1x2 + 2y1Y2 - 2122 +2w1w₂2 defined for any vectors V₁ = (₁, ₁, 2₁, W₁) and V₂ = (x2, 92, 22, W₂) in vector space R4 is not an 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)