Impact of primordial magnetic fields on the matter power spectrum varying with increasing field strength. Dashed lines illustrate the distribution of matter induced by primordial magnetic fields, while the solid lines represent the combination of these magnetic-induced matter perturbations and the perturbations produced during inflation. The unperturbed ΛCDM spectrum is shown as the dark blue solid line. The amplitude of the magnetic field is varying from 0.05 to 0.50 nG, while the spectral slope is kept constant at n_B = −2.9. The triangles with error bars represent Lyman Alpha data (Tegmark & Zaldarriaga 2002) as the observational constraints on the matter power spectrum at the smallest mass scales.