我是否必须在新类中覆盖GetHashCode和Equals？

public class Person
{
    public string FirstName { get; set; }
    public string LastName { get; set; }

    public override int GetHashCode()
    {
        unchecked
        {
            int hashCode = 17;
            hashCode = hashCode * 23 + FirstName.GetHashCode();
            hashCode = hashCode * 23 + LastName.GetHashCode();
            return hashCode;
        }
    }

    public override bool Equals(object obj)
    {
        if (obj == null || GetType() != obj.GetType())
        {
            return false;
        }

        var other = (Person)obj;
        return FirstName == other.FirstName && LastName == other.LastName;
    }
}