How Do You Calculate the Position of a Neutron Using Wave Functions?

[Cosmossos]

Hello
I need to calculate <x> (x is the location of neutron) and the state is

and the integral is:

Can I move the x to be near the integral symbol? and how to I multiply the matrices?

And is this true:

Can I move the psi to be near the psi*? And psi*x psi =psi^2=1 right?

thanks

 

[Mentz114]

The first vector under the integration should be a row, not a column as you've drawn it. \bar{x} is a square matrix, so the full product is a scalar.