$"11"$

$f_{ij}=f_{irstdif{f}_{i}j(i,j,n)}$

Inputs:

$\text{'}$i$\text{'},$ row index

$\text{'}$j$\text{'},$ column index

$\text{'}n\text{'},$ length of each side of desired first difference matrix

Output: $\text{'}$ fij $\text{'}$ is the $\text{'},\text{'}j\text{'})-$th element of the $\text{'}n\text{'}-$dimensional

first difference matrix.

$"$i$"."$

function firstdiff$\_$ij$($i::Integer, j::Integer, $n$: Integer$)$

if $??$

$??$

elseif $??$

$??$

elseif $(??)$ && $(??)$

$??$

else

$??$

end

return fij

end

Verify Solution