  The holographic complexity of a 3+1-dimensional Lifshitz spacetime having a
scaling symmetry is computed. The change in the holographic complexity between
the excited state and the ground state is then obtained. This is then related
to the changes in the energy and the entanglement chemical potential of the
system. The calculation is carried out for both the values of the dynamical
scaling exponent z in the Lifshitz spacetime. The relations has a very similar
form to the corresponding relation involving the change in entanglement entropy
known to be an analogous relation to the first law of thermodynamics.
