Question: Write a Haskell program for the following: A matrix in Haskell can be represented by the type type Matrix a = [[a]] type DoubleMatrix =

 Write a Haskell program for the following: A matrix in Haskell

Write a Haskell program for the following: A matrix in Haskell can be represented by the type type Matrix a = [[a]] type DoubleMatrix = Matrix Double Write functions transpose: : Matrix a -> (Maybe (Matrix a)) addMat :: DoubleMatrix -> DoubleMatrix -> (Maybe DoubleMatrix) multMat :: DoubleMatrix -> DoubleMatrix -> (Maybe DoubleMatrix) Which returns a matrix when these functions are well-defined

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