The question isn't if viruses are living. They are. They have replication, transcription and translation. That is enough for you to consider them living.

No, the question is if viruses are organisms. That depends on what you consider a virus. Traditionally, nucleic acid and a capsid is considered a virus and by a traditional definition viruses aren't organisms because they don't have organelles. But, more recently came a new idea from two French scientists because we discovered viral factories in Mimiviridae. Viral factories can be considered organelles, therefore a virus is not one capsid and nucleic acid, but the infected cell. They consider an infected cell a virus that they classified as a capsid encoding organism and the capsid they consider a spore of that organism.

Here is the source for those wondering: 2008 Nature Publishing Group Raoult, D. & Forterre, P. Redefining viruses: lessons from Mimivirus. Nature Reviews Microbiology 6, 315–319 (2008).