Q$.2($a$)$ Assume a network with single neuron having four input with the initial weight vector as $W={\left[\begin{array}{cccc}1& -1& 0& 0\mathrm{.}5\end{array}\right]}^T,$ needs to be trained using set $x_3={\left[\begin{array}{cccc}0& 1& -1& 1\mathrm{.}5\end{array}\right]}^T,$ taking learning rate $=1,$ find the weight vector after one Epoch of training the neuron through Hebbian learning. $($Assume neuron to be bipolar binary$)$

$($b$)$ Explain in detail the architecture and working of Bi$-$directional associative memory.