Machine-Learning-with-Gaussian-elimination notebook broken with current Julia and Flux

[Shotgunosine]

The second code cell returns:

UndefVarError: ⋅ not defined

After adding using LinearAlgebra to get the ⋅ defined. The machine learning example using flux throws the following error:

MethodError: no method matching Adam(::Vector{Any})
Closest candidates are:
  Adam(::Any, ::Any, ::Any, ::Any) at ~/.julia/packages/Flux/kq9Et/src/optimise/optimisers.jl:168
  Adam() at ~/.julia/packages/Flux/kq9Et/src/optimise/optimisers.jl:173
  Adam(::Float64, ::Tuple{Float64, Float64}, ::Float64, ::IdDict{Any, Any}) at ~/.julia/packages/Flux/kq9Et/src/optimise/optimisers.jl:168
  ...

Stacktrace:
 [1] top-level scope
   @ In[10]:4
 [2] eval
   @ ./boot.jl:368 [inlined]
 [3] include_string(mapexpr::typeof(REPL.softscope), mod::Module, code::String, filename::String)
   @ Base ./loading.jl:1428

Looking at the flux docs, it appears that the api has changed. I was using julia 1.8.3 and Flux 0.13.0.