In this video I prove three useful properties of Pauli matrices, namely:
1. Pauli matrices square to Identity matrices:
sigma^2 = I
2. Anti-commutator of Pauli matrices is 0, or Pauli matrices Anti-commute:
{sigma_i, sigma_j} = 2 delta_ij I
3. Pauli matrices are traceless:
tr (sigma) = 0

I also mention some additional information regarding Clifford Algebra.

Timestamps:
0:00 Pauli matrices square to Identity matrices
2:37 Pauli matrices anti-commute
8:22 Pauli matrices are traceless.

Who am I?
I'm Priyanshi Bhasin, a PhD candidate at the Indian Institute of Science (IISc).

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