mate-default-applications-properties: command not found

Have You tried accessing the binary with the full path?

Maybe Your $PATH variable doesn't contain the default paths? echo $PATH should give something like:

[root@server ~]# echo $PATH
/usr/local/sbin:/usr/local/bin:/sbin:/bin:/usr/sbin:/usr/bin:/root/bin

If it's empty, You may set the PATH variable with this command

export PATH="/usr/local/sbin:/usr/local/bin:/sbin:/bin:/usr/sbin:/usr/bin:/root/bin"

On Debian possible default full paths are:

/usr/bin/mate-default-applications-properties - from package: mate-control-center

You may install the required package with command apt-get install {package}
Error in other languages:
mate-default-applications-properties: bevel nie gevind nie
mate-default-applications-properties: comandă negăsită
mate-default-applications-properties: comando não encontrado
mate-default-applications-properties: commande introuvable
mate-default-applications-properties: command not found
mate-default-applications-properties: käsku ei ole
mate-default-applications-properties: không tìm thấy lệnh
mate-default-applications-properties: komanda nerasta
mate-default-applications-properties: Kommando nicht gefunden.
mate-default-applications-properties: kommandot finns inte
mate-default-applications-properties: komut yok
mate-default-applications-properties: nie znaleziono polecenia
mate-default-applications-properties: níor aimsíodh an t-ordú
mate-default-applications-properties: no se encontró la orden
mate-default-applications-properties: no s'ha trobat l'ordre
mate-default-applications-properties: opdracht niet gevonden
mate-default-applications-properties: parancs nem található
mate-default-applications-properties: perintah tidak ditemukan
mate-default-applications-properties: príkaz nenájdený
mate-default-applications-properties: příkaz nenalezen
mate-default-applications-properties: команда не найдена
mate-default-applications-properties: командата не е открита
mate-default-applications-properties: 命令找不到
mate-default-applications-properties: コマンドが見つかりません