How to toggle two p:panels

OK, In the folllowing example, at the start of the page, I want  to show the first panel (named topPanel. Then when the user clicks the link in that panel, there's a set of calculations done
and toggles the panels. So when the second rendering happens I want to show the "linkPanel" instead of the "topPanel".

<ui:composition>
 <p:panel id="topPanel"
  <table   class="table">
   <tbody>
     <tr>
      <td >
       <p:commandLink value="display Panel Data" actionListener="#{dataManater.goToDisplay()}" />
      </td>
     </tr>
   </tbody>
  </table>
 </p:panel>


 <p:panel id="linkPanel">
  <table role="region" aria-label="Key Services Portlet" class="table">
   <tbody>
     <tr>
      <td >
        <p:commandLink value="#{dataManater.aDataItem1}" update="linkPanel" actionListener="#{dataManater.goToClickedLink1()}"/>
       </td>
     </tr>
     <tr>
      <td >
        <p:commandLink value="#{dataManater.aDataItem2}" update="linkPanel" actionListener="#{dataManater.goToClickedLink2()}"/>
      </td>
     </tr>
     <tr>
      <td >
        <p:commandLink value="#{dataManater.aDataItem3}" update="linkPanel" actionListener="#{dataManater.goToClickedLink3()}"/>
       </td>
     </tr>
     <tr>
      <td >
        <p:commandLink value="more" update="linkPanel" actionListener="#{ dataManater.goToClickedMore()}"/>
      </td>
     </tr>
  </tbody>
 </table>
 </p:panel>
</ui:composition>


And here is the bean:
@ManagedBean(name="DataManager")
@SessionScoped
public class DataManager  {

      private List<String> list;
      private String aDataItem1 = "Employment Opportunity 1";
      private String aDataItem2 = "Employment Opportunity 2";
      private String aDataItem3 = "Employment Opportunity 3";
 
 
      public  DataManager()  {
             
               
      }


        public void displayPanel()
        {
      }

 
      
      public String getaDataItem1()
      {
            return aDataItem1;
      }
      
      public void setaDataItem1(String aValue)
      {
             
            aDataItem1 = aValue;
      }
      
      public String getaDataItem2()
      {
            return aDataItem2;
      }
      
      public void setaDataItem2(String aValue)
      {
             
            aDataItem2 = aValue;
      }
      
      public String getaDataItem3()
      {
            return aDataItem3;
      }
      
      public void setaDataItem3(String aValue)
      {
             
            aDataItem3 = aValue;
      }
      
      
      
      public void goToClickedLink1()
      {
            System.out.println("Clicked goToClickedLink1");
             
      }
      
      
      public void goToClickedLink2()
      {
            System.out.println("Clicked goToClickedLink2");
             
      }
      
      public void goToClickedLink3()
      {
            System.out.println("Clicked goToClickedLink3");
             
      }
      
      public void goToClickedMore()
      {
            System.out.println("Clicked goToClickedMore");
             
      }
}  


What code should I do (do not worry about calculation part) to toggle the panel to linkPanel.