  We use $p$-component fermions $(p=2,3,...)$ to present $(2p-2)N$-fold
integrals as a fermionic expectation value. This yields fermionic
representation for various $(2p-2)$-matrix models. Links with the $p$-component
KP hierarchy and also with the $p$-component TL hierarchy are discussed. We
show that the set of all (but two) flows of $p$-component TL changes standard
matrix models to new ones.
