Posted by Anon. on .
Matrices are as follows reading left to right:
X=MatrixForm{{0,1},{1,0}}
Y=MatrixForm{{0,i},{i,0}}
Z=MatrixForm{{1,0},{0,1}}
H=MatrixForm 1/sqrt(2){{1,1},{1,1}}
S=MatrixForm{{1,0},{0,i}}
T=MatrixForm{{1,0},{0,exp(i(pi)/4)}}
v=MatrixForm{{alpha},{beta}}
Show by computation which of those matrices equals (1/sqrt(2))(X+Z) and which equals T^(2).

Math 
Steve,
S = T^2
H = 1/√2 (X+Z)