Status: Tags: #cards/math232/unit7/2 Links: Orthonormal
Gram-Schmidt Procedure
Principles
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- Turn any basis for S into an orthonormal basis for S
- Steps
- Take first, should be orthonormal
- For new ones, when we have a orthogonal basis v…$v_{i-1}$ for span(w…$w_{i-1}$), we want to find a vector $v_i$ so it becomes orthogonal basis for span(w…$w_{i}$)
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Algorithm
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- Can rescale i to make easier
Example
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References:
Created:: 2022-03-27 16:32