using System;

namespace Science.Mathematics.LinearAlgebra
{
    public class VectorSpace
    {
        public VectorSpace()
        {
        }
        public VectorSpace(int dimension)
        {
            d = dimension;
        }
        public VectorSpace(Vector[] basis)
        {
            d = basis.Length;
            v = basis;
        }
        private int d;
        public int Dimension
        {
            get { return d; }
            set { d = value; }
        }
        private Vector[] v;
        public Vector[] Basis
        {
            get { return v; }
            set { v = value; }
        }

        public override string ToString()
        {
            string res = "";
            for (int i = 0; i < this.Dimension; i++)
            {
                for (int j = 0; j < this.Basis.Length; j++)
                    res += this.Basis[j][i].ToString() + "     ";
                res += "\r\n";
            }
            res += "\r\n";
            return res;
        } 
    }
}