Do you want a matrix or a vector of vectors? They’re not the same thing in Julia.
I’d just do a' .- a to create the matrix. Or for the vector of vectors use a comprehension:
julia> using Symbolics
julia> @variables x₁ x₂ x₃ x₄;
julia> a = [x₁, x₂, x₃, x₄]
4-element Vector{Num}:
x₁
x₂
x₃
x₄
julia> a' .- a
4×4 Matrix{Num}:
0 x₂ - x₁ x₃ - x₁ x₄ - x₁
x₁ - x₂ 0 x₃ - x₂ x₄ - x₂
x₁ - x₃ x₂ - x₃ 0 x₄ - x₃
x₁ - x₄ x₂ - x₄ x₃ - x₄ 0
julia> [a .- x for x in a]
4-element Vector{Vector{Num}}:
[0, x₂ - x₁, x₃ - x₁, x₄ - x₁]
[x₁ - x₂, 0, x₃ - x₂, x₄ - x₂]
[x₁ - x₃, x₂ - x₃, 0, x₄ - x₃]
[x₁ - x₄, x₂ - x₄, x₃ - x₄, 0]