Bilinear Forms

Let M be a nxn positive definite, Hermitian matrix
Let <*,*> denote complex inner product and |*| denote magnitude of a
complex number

Is the following statement true:
| <x,y> | <= |<x,z>| implies | <x,My> | <= |<x,Mz>| for all x,y,z
elements of C^n?

It arises in a signal processing problem and I think it is true, but I
can't see what properties of bilinear forms or complex inner inner
products allows me to say this.

TIA,

Juno

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