diff --git a/packages/unxts.linalg/tests/test_printing.py b/packages/unxts.linalg/tests/test_printing.py
new file mode 100644
index 00000000..1006014f
--- /dev/null
+++ b/packages/unxts.linalg/tests/test_printing.py
@@ -0,0 +1,29 @@
+"""Tests for QuantityMatrix printing with wadler-lindig."""
+
+import jax.numpy as jnp
+import wadler_lindig as wl
+from unxts.linalg import QM, QuantityMatrix
+
+
+class TestQuantityMatrixShortName:
+    """Short-name / pretty-printing behavior specific to ``QuantityMatrix``."""
+
+    def test_quantitymatrix_short_name(self):
+        """``QuantityMatrix`` (``QM``) has short_name 'QM'."""
+        assert hasattr(QuantityMatrix, "short_name")
+        assert QuantityMatrix.short_name == "QM"
+        assert QM.short_name == "QM"
+
+    def test_uses_full_name_by_default(self):
+        """``QuantityMatrix`` uses its full name by default."""
+        qv = QuantityMatrix(jnp.array([1.0, 2.0, 3.0]), unit=("m", "s", "kg"))
+        result = wl.pformat(qv)
+        assert result.startswith("QuantityMatrix")
+        assert not result.startswith("QM(")
+
+    def test_use_short_name_true(self):
+        """``QuantityMatrix`` uses its short name 'QM'."""
+        qv = QuantityMatrix(jnp.array([1.0, 2.0, 3.0]), unit=("m", "s", "kg"))
+        result = wl.pformat(qv, use_short_name=True)
+        assert result.startswith("QM(")
+        assert "unit='(m, s, kg)'" in result