Exercise 6.13 (Orthonormality Property of the Dual Basis). Show that every basis {V₁, V2,...,UN} of CN, together with it

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Exercise 6 13 Orthonormality Property Of The Dual Basis Show That Every Basis V V2 Un Of Cn Together With It 1 (27.16 KiB) Viewed 91 times

Exercise 6.13 (Orthonormality Property of the Dual Basis). Show that every basis {V₁, V2,...,UN} of CN, together with its dual basis {w₁, W2,..., WN}, satisfies the following orthonormality condition: (6.4) (vk, wj) = Sk.j. =Σ₁1(v₁ w₁) v₂ = 1 (v, vj) wj. Furthermore show that v=