diff --git a/test/layer_tests.jl b/test/layer_tests.jl
index 5789a64..db80e52 100644
--- a/test/layer_tests.jl
+++ b/test/layer_tests.jl
@@ -305,6 +305,14 @@ end
 
         __f = (x, ps) -> sum(first(pd(x, ps, st)))
         @test_gradients(__f, x, ps; atol=1.0f-3, rtol=1.0f-3, broken_backends=[AutoTracker()])
+
+        pd2 = Layers.PositiveDefinite(model, ones(2))
+        ps, st = Lux.setup(StableRNG(0), pd2) |> dev
+
+        x0 = ones(Float32, 2) |> aType
+        y, _ = pd2(x0, ps, st)
+
+        @test all(y .== 0.0f0)
     end
 end