diff --git a/test/matrices/kms.jl b/test/matrices/kms.jl
new file mode 100644
index 0000000..516667d
--- /dev/null
+++ b/test/matrices/kms.jl
@@ -0,0 +1,17 @@
+# constructors
+@test allequal([
+    KMS(5),
+    KMS(5, 0.5),
+    KMS{Float64}(5),
+    KMS{Float64}(5, 0.5),
+])
+
+# linear algebra functions
+run_test_linearalgrbra_functions(KMS.(1:5))
+
+# eltype
+@test test_matrix_elements(KMS{Float32}(5))
+
+# content
+@test KMS(5) ≈ [1.0 0.5 0.25 0.125 0.0625; 0.5 1.0 0.5 0.25 0.125; 0.25 0.5 1.0 0.5 0.25; 0.125 0.25 0.5 1.0 0.5; 0.0625 0.125 0.25 0.5 1.0]
+@test KMS(5, 3) ≈ [1 3 9 27 81; 3 1 3 9 27; 9 3 1 3 9; 27 9 3 1 3; 81 27 9 3 1]