- #1

EngWiPy

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What is the geometric interpretation of the Gram-Schmidt orthonormalization process? I mean, you will find everywhere that the procedure is as follows:

1. set u1=a1 => e1=u1/||u1||

2. u2=a2-<a2,e1>e1 => e2=u2/||u2||

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As a comment on the second line, you will read that this is done to ensure that u2 is orthogonal on e1. But how is that? What is the geometric interpretation of this?

Thanks in advance