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I was given a "generic" matrix that I was told was constructed using Legendre Polynomials.

Factor  c1  c2  c3  c4  c5 Factor 1    0.2 0.2 0.2 0.2 0.2 Factor 2    -0.3333 -0.1667 0   0.1667  0.3333 Factor 3    0.25    -0.125  -0.25   -0.125  0.25 Factor 4    -0.1667 0.3333  0   -0.3333 0.1667 Factor 5    0.0625  -0.25   0.375   -0.25   0.0625   

When I calculate the Legendre polynomials on my own, the weightings produce the same factor shapes, but different numbers as shown below:

Factor  c1  c2  c3  c4  c5 Factor 1    1   1   1   1   1 Factor 2    -1  -0.5    0   0.5 1 Factor 3    1   -0.125  -0.5    -0.125  1 Factor 4    -1  0.4375  0   -0.4375 1 Factor 5    1   -0.289  0.375   -0.289  1 

Do you know how I can calculate these "generic" weightings? Are they calculated using some variation of Legendre Polynomials?

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    @Aaron I edited this question to include the details from the cross-post.2011-06-28

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