Using the Pauli matrices (sigma_{i}:left(sigma_{1}, sigma_{2}, sigma_{3} ight)), show that we can construct four matrices (gamma_{a}), (a=1,2,3,4),

Using the Pauli matrices \(\sigma_{i}:\left(\sigma_{1}, \sigma_{2}, \sigma_{3}\right)\), show that we can construct four matrices \(\gamma_{a}\), \(a=1,2,3,4\), as tensor products of Pauli matrices, \(\gamma_{a}=\sigma_{i} \otimes \sigma_{j}\), such that \(\gamma_{a} \gamma_{b}+\gamma_{b} \gamma_{a}=2 \delta_{a b}\). Find explicitly an example of such tensor products.