You can find lines containing a NaN entry with any:
julia> A = rand(5, 4)
A[rand(1:end, 4)] = NaN
A
5ร4 Array{Float64,2}:
0.951717 0.0248771 0.903009 0.529702
0.702505 NaN 0.730396 0.785191
NaN 0.390453 0.838332 NaN
0.213665 NaN 0.178303 0.0100249
0.124465 0.363872 0.434887 0.305722
julia> nanrows = any(isnan(A), 2)
5ร1 Array{Bool,2}:
false
true
true
true
false
, :
julia> A[!vec(nanrows), :]
2ร4 Array{Float64,2}:
0.951717 0.0248771 0.903009 0.529702
0.124465 0.363872 0.434887 0.305722