SOLVED: a) Prove that two vectors x and y in a complex inner-product space are orthogonal if and only if αx βy^2=αx^2 βy^2 for all αand β. Does this result hold if we have just x y^2=x^2 y^2 ? b) Prove that in any inner-product space, x-y ≥|x-y| . c) Prove the triangle inequality x y ≤x y . | Numerade
SOLVED: a) Prove that two vectors x and y in a complex inner-product …
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