asdf

submatrix

// note: more efficient way to store matrix is a class that uses internal Buffer[Double] of size row * columns

//submatrix determination for calculating determinants of matrices
  def submatrix[A](i : Int, j : Int, matrix : Array[Array[A]]) = {

    //returns a new array of size n-1 with the ith index removed
    def remove[A](index : Int, arr: Seq[A]): Seq[A] = {
      // Note: removing the ith index from a sequence is considered highly inefficient and to be avoided whenever possible
      arr.take(index) ++ arr.drop(index+1)
    }
    // remove row first
    remove(i, matrix).map { case row => remove(j, row) }
  }