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b. Assume that the vector space [R3 has the Euclidean inner product. Apply the Gram-Schmidt process to transform the vectors 111 = (1,1,1), [12 =

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b. Assume that the vector space [R3 has the Euclidean inner product. Apply the Gram-Schmidt process to transform the vectors 111 = (1,1,1), [12 = (1,2,1), 113 = (1,1,3) into an orthogonal basis {V1,V2,V3}, and then normalise the orthogonal basis to obtain an or- thonOrmal basis {w1, w2, W3}. (10 marks)

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