I hate these 2x2 (or nxn) matrix examples. You never know what is considered column and what is row.
If it helps at all, this is exactly what you'll see when you create a matrix in Julia:
julia> mat = [1 2; 3 4]
2×2 Array{Int64,2}:
1 2
3 4 julia> mat = [1 2
3 4]