# Enumerate multi dimensional array

**URL:** https://discourse.julialang.org/t/enumerate-multi-dimensional-array/48877
**Category:** New to Julia
**Tags:** arrays
**Created:** [October 23, 2020, 11:51am UTC](https://discourse.julialang.org/t/enumerate-multi-dimensional-array/48877 "2020-10-23T11:51:59Z")
**Posts on this page:** 1
**Showing post:** 3

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### Author: ![DNF](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/dnf/32/10191_2.png) [@DNF](https://discourse.julialang.org/u/DNF)
#### Post date: [October 23, 2020, 12:30pm UTC](https://discourse.julialang.org/t/enumerate-multi-dimensional-array/48877/3 "2020-10-23T12:30:32Z")

</div>

`axes` doesn’t include the value, unlike `enumerate`. And actually, it’s not `enumerate` you want, even for one-dimensional vectors. You should use `pairs`, since enumerate always starts counting at 1 no matter what sort of array you have (even 0-indexed arrays).

```julia
julia> a = randn(3,2)
3×2 Array{Float64,2}:
  0.446886 0.168215
 -0.0590402 1.89755
  0.0420936 -1.62462

julia> for (ind, val) in pairs(a)
       println(ind, ": ", val)
       end
CartesianIndex(1, 1): 0.4468857733868482
CartesianIndex(2, 1): -0.0590401519075785
CartesianIndex(3, 1): 0.04209357154257153
CartesianIndex(1, 2): 0.16821454509635914
CartesianIndex(2, 2): 1.8975549461332841
CartesianIndex(3, 2): -1.624623544140236

```

You can get `(i, j)` from calling `Tuple(ind)`, but you should rather use the cartesian index directly:

```julia
function new_matrix(matrix)
    new_matrix = copy(matrix)
    for (ind, element) in pairs(matrix)
        (i, j) = Tuple(ind)
        new_matrix[ind] = i * j * matrix[ind] # or ind[1]*ind[2] * matrix[ind]
    end
    return new_matrix
end

```

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