diff --git a/tests/fate/matroska.mak b/tests/fate/matroska.mak
index d1c316e998..ed6bd58cee 100644
--- a/tests/fate/matroska.mak
+++ b/tests/fate/matroska.mak
@@ -90,6 +90,16 @@ FATE_MATROSKA-$(call TRANSCODE, PCM_S24BE PCM_S24LE, MATROSKA, WAV_DEMUXER) \
                 += fate-matroska-move-cues-to-front
 fate-matroska-move-cues-to-front: CMD = transcode wav $(TARGET_SAMPLES)/audio-reference/divertimenti_2ch_96kHz_s24.wav matroska "-map 0 -map 0 -c:a:0 pcm_s24be -c:a:1 copy -cluster_time_limit 5 -cues_to_front yes -metadata_header_padding 7840 -write_crc32 0" "-map 0 -c copy -t 0.1"
 
+# This test covers the case in which a displaymatrix is not a rotation
+# and is therefore ignored by the muxer, i.e. the ffprobe output of
+# side data should be empty.
+FATE_MATROSKA_FFMPEG_FFPROBE-$(call REMUX, MATROSKA, MOV_DEMUXER H264_PARSER H264_DECODER) \
+                               += fate-matroska-non-rotation-displaymatrix
+fate-matroska-non-rotation-displaymatrix: CMD = transcode mov $(TARGET_SAMPLES)/mov/displaymatrix.mov matroska \
+    "-c copy -frames:v 5" \
+    "-c copy" \
+    "-show_entries stream_side_data_list"
+
 # This tests DOVI (reading from MP4 and Matroska and writing to Matroska)
 # as well as writing the Cues at the front (by shifting data) if
 # the initially reserved amount of space turns out to be insufficient.
diff --git a/tests/ref/fate/matroska-non-rotation-displaymatrix b/tests/ref/fate/matroska-non-rotation-displaymatrix
new file mode 100644
index 0000000000..c48a4afa43
--- /dev/null
+++ b/tests/ref/fate/matroska-non-rotation-displaymatrix
@@ -0,0 +1,15 @@
+3d9eac5b7551c5d644443a70451c809c *tests/data/fate/matroska-non-rotation-displaymatrix.matroska
+7860 tests/data/fate/matroska-non-rotation-displaymatrix.matroska
+#extradata 0:       34, 0xc1d10b51
+#tb 0: 1/1000
+#media_type 0: video
+#codec_id 0: h264
+#dimensions 0: 160x240
+#sar 0: 1/2
+0,        -33,          0,       33,     4133, 0xc48cf152
+0,          0,         60,       33,     1077, 0x15a71a8a, F=0x0
+0,         27,         27,       33,      355, 0x1ee8b91a, F=0x0
+0,         60,        127,       33,     1110, 0x4e1a2b12, F=0x0
+0,         94,         94,       33,      430, 0x8724d62c, F=0x0
+[STREAM]
+[/STREAM]