diff --git a/src/offdiagonal.jl b/src/offdiagonal.jl
index 32a97baa..ebd08699 100644
--- a/src/offdiagonal.jl
+++ b/src/offdiagonal.jl
@@ -150,6 +150,9 @@ function _offdiagonal_bcindex(bc::Broadcasted)
             axes(x) == axes(bc) || return nothing
             k === nothing || k == x.k || return nothing
             k = x.k
+        elseif x isa AbstractArray && ndims(x) > 0
+            # other arrays do not reduce to the band, even when the result is zero-preserving
+            return nothing
         end
     end
     k
diff --git a/test/runtests.jl b/test/runtests.jl
index 77a9dd3e..26c12445 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -467,7 +467,8 @@ end
                 @test eltype(B) == eltype(BM)
             end
             # other operations are dense
-            for (B, BM) in ((cos.(A), cos.(M)), (A .+ 1, M .+ 1), (A .* M, M .* M), (A .+ M, M .+ M), (A .* (1:size(A,1)), M .* (1:size(A,1))))
+            for (B, BM) in ((cos.(A), cos.(M)), (A .+ 1, M .+ 1), (A .* M, M .* M), (A .+ M, M .+ M), (A .* (1:size(A,1)), M .* (1:size(A,1))),
+                            ((1:size(A,1)) .* A, (1:size(A,1)) .* M), (A .* permutedims(1:size(A,2)), M .* permutedims(1:size(A,2))))
                 @test B isa Matrix
                 @test B == BM
             end