/usr/lib/x86_64-linux-gnu/pkgconfig/mate-desktop-2.0.pc is in libmate-desktop-dev 1.8.1+dfsg1-3+deb8u1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 | prefix=/usr
exec_prefix=${prefix}
libdir=${prefix}/lib/x86_64-linux-gnu
includedir=${prefix}/include
Name: mate-desktop-2.0
Description: Utility library for loading .desktop files
Requires: gtk+-2.0 libstartup-notification-1.0
Requires.private: dconf
Version: 1.8.1
Libs: -L${libdir} -lmate-desktop-2
Cflags: -I${includedir}/mate-desktop-2.0
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