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Given the two relations below, is it true and if yes, can anyone help me show that the solution to this must be the Pauli matrices? The alphas are matrices here.

[itex]\alpha_{i}\alpha_{j}+\alpha_{j}\alpha_{i} = 2\delta_{ij}*1[/itex]. 1 is the identity matrix

[itex]\alpha_{i}^{2} = 1[/itex]

Thank you

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# Pauli matrices

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