The concept of matter waves was introduced by Louis de Broglie in 1924. He proposed that all matter, especially particles like electrons, have wave-like properties. This idea was crucial in the development of quantum mechanics and led to the wave-particle duality theory.
Instead of just recalling names and dates, we can check who is actually credited with the equation behind the matter wave idea, wavelength equals Planck's constant divided by momentum, which links a particle's wavelength to its momentum.
Only the wavelength-momentum relationship, credited to de Broglie, directly proposes that matter carries wave properties.
So the correct answer is Broglie.