alpha-is-not-a

julia> A = 3 # this is \Alpha
3

julia> Α = 4 # this is A
4

julia> Α == A # they aren't the same
false

julia> x′ = rand(2,2) # this is x\prime
2×2 Matrix{Float64}:
 0.959922  0.243031
 0.102611  0.801832


julia> x = [1 2; 0 1] # this is x
2×2 Matrix{Int64}:
 1  2
 0  1

julia> x'              # x transpose
2×2 adjoint(::Matrix{Int64}) with eltype Int64:
 1  0
 2  1

julia> x′               # not this!
2×2 Matrix{Float64}:
 0.959922  0.243031
 0.102611  0.801832

julia>