First let's write what are Pauli matrices :
σ1=(0110),σ2=(0i−i0),σ3=(100−1)
The main properties are :
- All three are Hermitian and unitary matrices.
- All of them have eigenvalues 1 and -1
- By [A,B] I note the commutator of A and B :
[σ1,σ2]=σ3;[σ2,σ3]=σ1;[σ3,σ1]=σ2
These are the main properties of Pauli matrices, but there is, obviously, a lot more of them. You can also check Wikipedia : Pauli matrices - Wikipedia
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