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Principal Component Analysis

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Principal Component Analysis

I am trying to run principal component analysis on a data set I have using the following code

proc factor data=pca
simple
method = prin
priors = one
nfact = 3
/*mineigen = .8
scree*/
rotate = varimax
flag = .9
res
score
run;

This outputs the following amongst other things -

1) Factors - The score of each test element for all the components
2) Factor Pattern - Significance of component on each test
3) Factor Score - The loading Matrix

My question is,
how are the Input data, Factor Score and Factors related to each other? (How do I reconstruct the input given the score and factors)
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