Matrix Class in Dart [WIP]

matrix.dart

class Strassen {
   m1_of(List[][] a, List[][] b) {}

   m2_of() {}

   m3_of() {}

   m4_of() {}
  
   m5_of() {}
  
   m6_of() {}
  
   m7_of() {}
}


class Matrix {
  List matrix;
  Dimensions dimensions;
  
  Matrix(int rows, int columns){
    matrix = List.generate(rows, (i) => List(columns), growable: true);
    dimensions = Dimensions(rows, columns);
  }
  
  void set(Object value, int row, int column){
    
    if (row >= dimensions.rows || column >= dimensions.columns)
    matrix[row][column] = value;
  }
  
  bool isSquare(){
    return dimensions.isSquare();
  }
  
  bool isDiagonal(){}
  
  bool isLowerTriangular(){}
  
  bool isUpperTriangular(){}
  
  bool isTriangular(){
    return isLowerTriangular() || isUpperTriangular();
  }
  
  bool isIdentity(){}
  
  bool isSymmetric(){}
  
  bool isSkewSymmetric(){}
  
  bool isInverseOf(Matrix b){}
  
  bool isColumnVector(){
    return dimensions.columns == 1;
  }
  
  bool isRowVector(){
    return dimensions.rows == 1;
  }
  
  // transpose == inverse
  bool isOrthogonal(){}
  
  bool isSparse(){}
  
  Matrix getTranspose(){}
  
  Matrix getInverse(){}
  
  Matrix getSubmatrixByRemoving(int row, int col){}
  
  int getRank(){}
  
  int getDeterminant(){}
  
  void pad(){}
  
  Matrix subtract(){}
  
  Matrix add(){}
  
  Matrix multiply{}
  
  
}

class Dimensions implements ForMatrices {
  int rows;
  int columns;
  
  Dimensions(this.rows, this.columns);
  
  bool isSquare(){
    return rows == columns;
  }
}

class LinearEquations{}
class LinearTransformations{
  
  Matrix rotate(){}
  
  Matrix scale(){}
  
  Matrix reflect(){}
  
  Matrix shear(){}
  
  Matrix squeeze(){}
  
  Matrix project(){}
}

// Tagging interface
class ForMatrices{}

void main() {
  for (int i = 0; i < 5; i++) {
    print('hello ${i + 1}');
  }
}