Can I specify which Columns are editable in a WPF DataGrid?

Question

I have a WPF 4.0 DataGrid with AutoGenerated columns. I would like to only allow the user to edit the first column. Is there an easy way of doing this?

I was trying

Answer 1

private void dgTableDetailAdj_RowEditEnding(object sender, DataGridRowEditEndingEventArgs e)
{
    foreach (DataGridColumn col in dgTableDetailAdj.Columns)
    {
        if (col.Header.Equals("columnName"))
        {
            col.IsReadOnly = true;
        }
    }
}