FeedMe: How to import data into the Matrix field of a section?
It seems that FeedMe cannot process such JSON objects as it needs them to be cleaner. 

I ended up doing a lot of PHP processing of my exported data until it had the below format. With that FeedMe was happy.

{  
  "title":"Emily Wurramara",
  "album":[  
     {  
        "album_release_date":"2017-02-08",
        "album_description":"",
        "album_tracks_1":"Hey Love",
        "album_tracks_2":"",
        "album_cover":"emily-wurramura_hey-love.jpg",
        "album_amazon_link_id":"",
        "album_itunes_link_album_name":"hey-love-single/1203932967",
        "album_title":"Hey Love (Single)"
     },
     {  
        "album_release_date":"2017-02-22",
        "album_description":"",
        "album_tracks_1":"Hey Love Me Too",
        "album_tracks_2":"",
        "album_cover":"emily-wurramura_hey-love.jpg",
        "album_amazon_link_id":"",
        "album_itunes_link_album_name":"hey-love-single/1203932967",
        "album_title":"Hey Love (Me Too)"
     }
  ]
},