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-- initial check for the polynomial model example
import LinearAlgebra
prepSyst :: Int -> Matrix Double -> (Matrix Double, Vector Double)
prepSyst n d = (a,b) where
[x,b] = toColumns d
a = fromColumns $ 1+0*x : map (x^) [1 .. n]
main = do
dat <- readMatrix `fmap` readFile "data.txt"
let (a,b) = prepSyst 3 dat
putStr "Coefficient matrix:\n"
dispR 3 a
putStr "Desired values:\n"
print b
putStr "\nLeast Squares Solution:\n"
print $ pinv a <> b -- equivalent to: linearSolveLSR a (fromColumns [b])
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