Question about normal matrices

[chuy52506]

Homework Statement

Suppose A is a normal matrix in the complex field.

Homework Equations

Show that ||Ax||=||A^*x|| for all x in the complex field

The Attempt at a Solution

If A is normal then AA^*=A^*A and ||Ax||=(Ax,Ax)=(x,A^*Ax)

 

[chuy52506]

Never mind i got it=]