Four vector made of Pauli matrices commute?

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earth2
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Hey guys

There are those vectors made of Pauli matrices like

[itex]\bar{\sigma}^\mu[/itex] and [itex]{\sigma}^\mu[/itex]. So if I have the product

[itex]\bar{\sigma}^\mu {\sigma}^\nu[/itex] I wonder if it is commutative? And if not, what is the commutator?

Cheers,
earth2
 
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Why don't you work it out?