Как выделить строку таблицы при нажатии пр. клавиши мыши?

<DataGrid x:Name="dataGrid" MouseDown="dataGrid_MouseDown"/>

private void dataGrid_MouseDown(object sender, MouseButtonEventArgs e)
{
  if (e.RightButton == MouseButtonState.Pressed)
  {
    var row = DataGridRow.GetRowContainingElement(e.OriginalSource as FrameworkElement);
    if (row != null)
    {
      // dataGrid.SelectedIndex = row.GetIndex();
      dataGrid.SelectedItem = row;
    }
  }
}