a linear transformation y= Ax is said to be orthogonal if A is
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In general, a linear map T is defined to be orthogonal if T preserves inner products. To be more specific, if T is a function from a vector space V to itself, T is defined to be orthogonal if ⟨v,w⟩=⟨Tv,Tw⟩ for every v and w in V.
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