What happens to sound waves after they are received by our ears?

Our ears perceive then sound then it is transmitted to our brain where it is processed into something we can respond to. This all happens in less than a second and we are unaware that we are doing it.  

Explanation:

The sound wave bounces off of the ear drum into the inner ear.

Sound waves travel from the outer ear and in through the auditory canal, causing the eardrum to vibrate. This in turn causes three small bones in the middle ear to move. The vibrations move through the fluid in the cochlea in the inner ear, stimulating thousands of tiny hair cells.

i think it because equal matrices have equal dimensions, only square matrices can be symmetric. for all indices and . every square diagonal matrix is symmetric, since all off-diagonal elements are zero. in linear algebra, a real symmetric matrix represents a self-adjoint operator over a real inner product space.