DataGridView with property ColumnHeadersVisible false does not allow selecting cell CheckBoxColumn c #

I have a DataGridView which has no DataSource associated, but it is filled manually.

With two columns:

• Column 1: seleccion

• Column 2: descripcion .

  dgrid.Rows.Add(new object[] { true, "ADMINISTRACIÓN"});
  dgrid.Rows.Add(new object[] { true, "DISTRIBUCIÓN"});
  dgrid.Rows.Add(new object[] { true, "FINANZAS"});
  

Problem

I am using the property ColumnHeadersVisible set in false to hide the header of the columns, and when you want to mark / unmark the first box CheckBoxColumn does not allow it, instead the other boxes if:

How can I solve it?

On the other hand, if I show the header of the columns ColumnHeadersVisible = true , it does not present problems in the selection of the boxes.

  

Note: I need to hide the header because I will use this DataGridView in a very small space of the form.

Environment: Visual Studio 2010 (Windows Forms) C #