Usually serpentinite is part of oceanic crust from various ophiolite complexes (https://en.wikipedia.org/wiki/Ophiolite) and (https://en.wikipedia.org/wiki/Serpentinite)
these links will introduce you in serpentinite environment, especially pay attention on terms as: seafloor spreading and tectonic plate boundaries
typical intrusions as granite or diorite, have different origin (and genesis)
The adjective 'intrusive' means: 'Of or pertaining to intrusion'
'Intrusive (igneous)' means: The process of emplacement of magma in pre-existing rock.
'Intrusion (sedimentary)' means: A sedimentary injection (forcing upward) on a large scale.
A serpentinite is neither an igneous nor a sedimentary rock.
A serpentinite is a transformation product mainly of olivine- and/or pyroxene-rich rocks by hydrothermal alteration (during very low grade to low grade metamorphism).
A serpentinite is a metamorphic rock. Metamorphic rocks can not intrude! They are generally transported by tectonic processes along faults into higher levels of the earth's crust.
Thank u Prof.Guenter Grundmann for this important information,but I mean that ultramafic rocks are intruded and then they are undergone metamorphism process and transformed to Serpentinite, So I called it intrusive serpentine ....This definition is considered as right or fault?