If you want to know if ImageMagick installed in your server ;

login via ssh and type locate mogrify and it is installed if says ;

root@meric [~]# locate mogrify
/usr/bin/mogrify
/usr/share/doc/ImageMagick-5.4.7/www/mogrify.html
/usr/share/man/man1/mogrify.1.gz
/usr/share/ImageMagick/www/mogrify.html
/usr/X11R6/bin/mogrify
/usr/X11R6/include/X11/magick/magick/mogrify.h
/usr/X11R6/man/man1/mogrify.1
/usr/X11R6/share/ImageMagick-6.0.6/www/mogrify.html
/usr/local/src/buildapache/ImageMagick-6.0.6/magick/mogrify_private.h
/usr/local/src/buildapache/ImageMagick-6.0.6/magick/mogrify.h
/usr/local/src/buildapache/ImageMagick-6.0.6/magick/mogrify.c
/usr/local/src/buildapache/ImageMagick-6.0.6/magick/.deps/mogrify.Plo
/usr/local/src/buildapache/ImageMagick-6.0.6/magick/.libs/mogrify.o
/usr/local/src/buildapache/ImageMagick-6.0.6/magick/mogrify.o
/usr/local/src/buildapache/ImageMagick-6.0.6/magick/mogrify.lo
/usr/local/src/buildapache/ImageMagick-6.0.6/utilities/mogrify.c
/usr/local/src/buildapache/ImageMagick-6.0.6/utilities/mogrify.1
/usr/local/src/buildapache/ImageMagick-6.0.6/utilities/.deps/mogrify.Po
/usr/local/src/buildapache/ImageMagick-6.0.6/utilities/.libs/mogrify
/usr/local/src/buildapache/ImageMagick-6.0.6/utilities/mogrify.o
/usr/local/src/buildapache/ImageMagick-6.0.6/utilities/mogrify
/usr/local/src/buildapache/ImageMagick-6.0.6/guide/mogrify.tex
/usr/local/src/buildapache/ImageMagick-6.0.6/www/mogrify.html
root@meric [~]#

+++++++

another way to know ;

which convert

If you get something back like:
/usr/bin/which: no convert in (...)

then it is either not installed or the path is not set. If you want to check and see if PerlMagick is installed, you can type:

perl -e "use Image::Magick"

If you don't get any messages back, it means it IS installed.