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**1. Consider the 2x2 matrix [tex]\sigma^{\mu}=(1,\sigma_{i})[/tex] where [tex]\sigma^{\mu}=(1,\sigma)**

[/tex] where 1 is the identity matrix and [tex]\sigma_{i}[/tex] the pauli matrices. Show with a direct calcuation that [tex]detX=x^{\mu}x_{\mu}[/tex]

[/tex] where 1 is the identity matrix and [tex]\sigma_{i}[/tex] the pauli matrices. Show with a direct calcuation that [tex]detX=x^{\mu}x_{\mu}[/tex]

**3. I'm not sure how to attempt this at all...**