diff --git a/test/linalg/lu.jl b/test/linalg/lu.jl
new file mode 100644
index 00000000000000..b27e62a9a1e360
--- /dev/null
+++ b/test/linalg/lu.jl
@@ -0,0 +1 @@
+@test logdet(Complex64[1.0f0 0.5f0; 0.5f0 -1.0f0]) === 0.22314355f0 + 3.1415927f0im