RosettaCodeData/Task/Cramers-rule/Haskell/cramers-rule-1.hs
2023-07-01 13:44:08 -04:00

17 lines
527 B
Haskell

import Data.Matrix
solveCramer :: (Ord a, Fractional a) => Matrix a -> Matrix a -> Maybe [a]
solveCramer a y
| da == 0 = Nothing
| otherwise = Just $ map (\i -> d i / da) [1..n]
where da = detLU a
d i = detLU $ submatrix 1 n 1 n $ switchCols i (n+1) ay
ay = a <|> y
n = ncols a
task = solveCramer a y
where a = fromLists [[2,-1, 5, 1]
,[3, 2, 2,-6]
,[1, 3, 3,-1]
,[5,-2,-3, 3]]
y = fromLists [[-3], [-32], [-47], [49]]