Prove
Prove
Prove
What 2 by 2 matrix has the properties
Rotation matrix
SO(3) matrix is always
Rotation wrt certain axis
Σ
The real linear space of self adjoint traceless 2by2 matrices
Basis of Σ
Pauli matrices
Prove
Prove
There is a homomorphism φ:SU(2) -> SO(3) that is surjective and has kerΦ~= Z2