How do I transpose a matrix of strings?

julia> A = [('a'-1+i) * ('a'-1+j) for i in 1:3, j in 1:3]
3×3 Array{String,2}:
 "aa"  "ab"  "ac"
 "ba"  "bb"  "bc"
 "ca"  "cb"  "cc"

julia> permutedims(A)
3×3 Array{String,2}:
 "aa"  "ba"  "ca"
 "ab"  "bb"  "cb"
 "ac"  "bc"  "cc"
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