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full proofs for both and please write legibly
5. Let T be an orthogonal transformation on a finite dimensional vector space V over the real numbers, with an inner product.
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5 Since I is orthogonal transformation then associate matrix of I say A is orthogonal. Then DCT) = D(A). Now since A is ortho(6) We know a result that a matrix A is orthogonal if and only if the row vectors of A form an ortho normal basis of rn underat follows that ATA = I iff i. U as if it ui. Ug = Yo if its ( Now since UI, U,... Up ince UI, U,... Un are ortho normal. He

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