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In an exercise I was trying to show that every solution of the Dirac equation also solves the Klein-Gordon equation.

Now I have two very simple questions:

Is [tex]\gamma_\nu \gamma^\mu = \gamma^\nu \gamma_\mu[/tex] ?

And is [tex]\partial_\nu \partial^\mu = \partial^\nu \partial_\mu[/tex] ?

Thanks for the help.