Activity $2($Design your own substitution cipher$)$

Hi$,$ please use the template provided for activity $2.$ Thanks. And please explain your workings.

$($a$)$ Use the criteria indicated to create a pair of $33$ matrices $(D$&$D^{-1}),$ where the entries

of the matrix $D$ are all integers.

$(20$ marks $)$

$($i$)d_{2,1}=5$

$($ii$)d_{3,2}=-2$

$($b$)$ Create your own substitution cipher. Then use it and the matrix $D$ you created in $($a$)$ to

encrypt the title of your favourite movie.

$(20$ marks $)$

$($c$)$ Use the matrix $D^{-1}$ and the appropriate substitution cipher to decrypt the message from

$($b$).$

$(20$ marks $)$ Activity $2$: Design your own substitution cipher $(60m)$

a$)$ My Lock Matrix and Inverse $(20$m$)$: $($entries are all integers$)$

Inverse Matrix D ${?}^{-1}$

b$)$ My Coding System $(20$m$)$ :

Title of favourite movie :

Encryption : $DM=$

c$)$ Decryption $(20m)D^{-1}(DM)=$

Decode Movie: