question archive We consider the pre-Euclidean space V = C ([0, π / 2], R) of continuous functions [0, π / 2] → R endows of the dot product: 〈f,g〉 = Integral (0 to π / 2) f(t) g(t) dt We consider S = Span (1, sin (t), cos (t))
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We consider the pre-Euclidean space V = C ([0, π / 2], R) of continuous functions [0, π / 2] → R endows
of the dot product:
〈f,g〉 = Integral (0 to π / 2) f(t) g(t) dt
We consider S = Span (1, sin (t), cos (t)). Using GramSchmidt's orthogonalization procedure, give an orthogonal basis of S