Feed$-$Forward Neural Networks

You are using the Feed$-$Forward Neural Network illustrated in the following architecture:

$(2)$ Given that the dimension of each x$=5$ and j $=7,$ while k $=8,$ and n $=11,$ compute the total size of the input layer of the FFNN$.$

:

$(3)$ What are the dimensions of the Matrix A$?$

$($A$)$ The number of rows::

$($B$)$ The number of columns::

$(4)$ What are the dimensions of the Matrix B$?$

$($A$)$ The number of rows::

$($B$)$ The number of columns::

$(5)$ What are the dimensions of the Matrix C$?$

$($A$)$ The number of rows::

$($B$)$ The number of columns::

$(6)$ What is the total number of parameters of this FFNN$?$

:

$(7)$ How are these parameters learned? Select all that applies:

A: By selecting as loss function that cross$-$entropy loss

B: By minimizing the loss function

C: By using error back propagation

If the answer is both A and B$,$ write A$,$ B in the blank.

:

$(8)$ What is the dimension of the output vector y$?$

:

$(9)$ How should function $\text{'}$f$\text{'}$ be defined when used to compute the output: y $=$ f$($z$)?$