Dear Aspirant

A matter wave is when you think of matter as a wave. The concept of matter waves was first introduced by Louis de Broglie. It's a hypothetical wave associated with the motion of a particle of atomic or subatomic size that describes effects such as the diffraction of beams of particles by crystals.

Apologies but i unable to provide you diagram

But

Mathematically,In Phase means that the phase angle of two  waves are the same, or are in arithematic progression, with the common difference being (2 x pi), whileOut of Phase makes the difference in the twophaseangle to be 180 degrees, or (2n x pi ) + 180 degrees.

( pi = 3.141)

I hope it will help you

Thank you