PLEASE ANSWER ALL PARTS AND INCLUDE GRAPH$///$ WILL UPVOTE

Suppose you survey two people, asking each of them $5$ yes$/$no questions and store their answers as

column vectors called vec$(a)$ and vec$(b).$

Choose your own random vec$(a)$ and vec$(b)$ and write them here:

Compute each of the following matrices: explain what their entries are counting.:

vec$(a{)}^{TT}$vec$(a),$

vec$(a{)}^{TT}$vec$(b),$

vec$(a)vec(a{)}^{TT}$

vec$(a)vec(b{)}^{TT}$ Consider the $52$ matrix $A=([vec(a),$vec$(b)])$ using your vec$(a)$ and vec$(b)$ from the previous question.

Compute $B=A^{TT}$A and $(2)$ draw and label the edge$-$weighted graph whose weighted

adjacency matrix is $B.$

Compute $C=A{A}^{TT}$ and $(4)$ draw and label the edge$-$weighted graph whose weighted adjacency

matrix is $C.$

$[$You may omit edges if their weight is zero.$]$ Consider your $52$ matrix $A=([vec(a),$vec$(b)])$ from Question #$1.$

Draw the neural network representing the function $f(vec(x))=$Avec$(x)$

Draw the neural network representing the function $g(vec(x))=A{A}^{TT}$vec$(x)$

Draw the neural network representing the function $h(vec(x))=A^{TT}$Avec$(x)$

$[$You may omit edges if their weight is zero.$]$