/// <summary>
/// Возвращает вектор в новом базисе. Векторы базиса записываются в столбцы масссива.
/// </summary>
/// <param name="vector"></param>
/// <param name="basis"></param>
/// <returns></returns>
public static Vector ToNewBasis(this Vector vector, double[,] basis)
{
if (Vector.Determinant(basis) == 0)
{
throw new ArgumentException("Determinant of the matrix of vectors is equal to 0." +
"Vectors cannot be basis");
}
else
{
double[,] invertMatrix = Vector.InvertibleMatrix(basis);
double[] newVector = Vector.MatrixMultiplication(invertMatrix, vector);
return(new Vector(newVector));
}
}
