Sad song in Matrix about Neo's Heart (5)
I believe the answer is:
dirge
'sad song' is the definition.
(I've seen this before)
'matrix about neo's heart' is the wordplay.
'matrix' becomes 'grid' (I've seen this before).
'about' is a reversal indicator.
'heart' says to take the centre.
The centre of 'neo' is 'e'.
'grid' reversed gives 'dirg'.
'dirg'+'e'='DIRGE'
'in' is the link.
(Other definitions for dirge that I've seen before include "Mournful music" , "Elegy" , "Melancholy song" , "Funeral hymn" , "Song or hymn of mourning" .)