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Question 1 [25 pts] Consider four vectors: -1 NHH W HHON v (1) = 1 V(2) = HOH H V(3) = V ( 4) =

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Question 1 [25 pts] Consider four vectors: -1 NHH W HHON v (1) = 1 V(2) = HOH H V(3) = V ( 4) = (a) Based on the Gram-Schmidt Orthogonalization procedure, please find the orthonormal vectors e () and e (2) by representing it through the vectors v (1), v(2), v(3), and v(4). [20 points] (b) Please find the corresponding vectors c (1), c(2), c(3), and c ) that represent the vectors v(1), v(2), v(3), and v(4). [5 points]

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