The iron-based superconductor LiFeAs exhibits a number of unique features distinguishing it from other materials in its class. As yet, these differences are unexplained. This experiment is designed to test a recent theoretical prediction that LiFeAs exhibits triplet pairing, unlike other studied pnictides and cuprates that exhibit singlet pairing. If correct, LiFeAs would be one of very few such superconductors with one of the highest transition temperatures. This prediction will be tested using a well-established muSR method which has previously provided evidence for breaking of time-reversal symmetry in several other superconducting compounds.