We have demonstrated a ferrimagnetic-type anti-parallel remanent state of rhomboid shaped nanomagnets of two different widths alternated in a dipolar coupled nanomagnetic array. The anti-parallel state is reconfigured to a parallel remanent state by using a simple field initialization process. Magnetic states were directly visualized using the magnetic force microscopy technique. Due to a variation of the stray field distributions for the two different remanent states, distinct dynamic responses are found using the broadband ferromagnetic resonance spectroscopy technique without applying any external bias magnetic field. Experimental observations were supported by the micromagnetic simulations. The results are important in the context of bias-field-free and reprogrammable microwave magnetic devices and creation of artificial ferrimagnetic crystals. © 2018 Author(s).