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Gram-Schmidt Orrthonormalization

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β1 = 1 ; β2 = x ; β3 = xË?2

1
|| β1||Ë?2 = (β1, β1) = ∫ 1 dx = 1
0

α1 = β1 / || β1|| =1

1
(β2, α1) = ∫ x dx = ½
0

γ2 = β2 - (β2, α1) α1 = x - ½(1) = x - ½

1
|| ...

Solution Summary

Linear algebra , Gram Schmidt orthonormalization

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