Let's consider the operation of a learning switch in the context of a network in which $6$ nodes labeled A through F are star$-$connected into an Ethernet switch. Suppose that

$($i$)$ B sends a frame to E$.$

$($ii$)$ E replies with a frame to B$,$

$($iii$)$ A sends a frame to B$.$

$($iv$)$ B replies with a frame to A$.$

The switch table is initially empty. Show the state of the switch table before and after each of these events. For each of these events, identify the link$($s$)$ on which the transmitted frame will be forwarded, and briefly justify your answers.