Matrix vs. cement Matrix is the fine material present between larger grains at deposition. Cement is mineral growth that binds grains later. If you see crystalline material filling pore spaces, that’s more like cement than matrix.
Matrix vs. groundmass In igneous rocks, the fine background is often called groundmass. In clastic sedimentary rocks, the background between clasts is matrix. The concept is similar, but the correct term depends on rock type.
Matrix vs. host rock Host rock is the larger rock body that contains a feature (like a vein). Matrix is the fine component inside a clastic rock. A vein’s host rock is not the same idea as a conglomerate’s matrix.
Matrix vs. clast Clasts are the larger fragments; matrix is what surrounds them. If your description focuses on the big fragments, you’re talking clasts; if it’s the fine binding material, it’s matrix.