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Provide answers fExercises. 6.2.1. Apply the Gram-Schmidt algorithm to each set S and thus obtain an orthogonal basis for Span S, then obtain the co-ordinate

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\fExercises. 6.2.1. Apply the Gram-Schmidt algorithm to each set S and thus obtain an orthogonal basis for Span S, then obtain the co-ordinate representation of the given vector with respect to your basis. (a) s = {(). (i) . ()R3 (standard inner product), X (b) s = {(39). (3'9). (17)}9M2(R) (Frobenius product), X = (AS (c) S = {sint, cost, 1, t } with (f.g) = fo f(t)g(t) dt and h(t) = 2t + 1

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