$2-$D DFT and DCT are separable, and can be implemented through $1-$D DFT or DCT

along horizontal and vertical directional separately. For the following $22$ image block

$[12]$

$[34]$

$4\mathrm{.}1\mathrm{.}1$ Calculate its $22$ DFT

$4\mathrm{.}1\mathrm{.}2$ Calculate its $22$ DCT