Q$1.$ Given a two$-$input neuron with the following parameters: $b=1\mathrm{.}2,W=\left[\begin{array}{cc}3& 2\end{array}\right]$

and $p=[-56{]}^{TT},$ calculate the neuron output for the following transfer

functions:

i$.$ A symmetrical hard limit transfer function

ii$.$ A saturating linear transfer function

iii. A hyperbolic tangent sigmoid $($tansig$)$ transfer function

Q$2.$ A single$-$layer neural network is to have six inputs and two outputs. The

outputs are to be limited to and continuous over the range $0$ to $1.$ What can

you tell about the network architecture?

Specifically:

i$.$ How many neurons are required?

ii$.$ What are the dimensions of the weight matrix?

iii. What kind of transfer functions could be used?

iv$.$ Is a bias required?