diff --git a/bemani/format/afp/swf.py b/bemani/format/afp/swf.py
index e28bb64..69b8775 100644
--- a/bemani/format/afp/swf.py
+++ b/bemani/format/afp/swf.py
@@ -1570,7 +1570,11 @@ class SWF(TrackedCoverage, VerboseOutput):
                 self.vprint(f"{prefix}    Create object request")
                 update_request = False
 
-            if flags & 0x4:
+            if flags & 0x18000004:
+                # Technically only flag 0x4 is the "use transform matrix" flag, but when they
+                # added perspective to the format, they also just made setting the TZ or the
+                # 3x3 transform portion of a 4x4 matrix equivalent. So if those exist, this
+                # implicitly is enabled.
                 self.vprint(f"{prefix}    Use transform matrix")
                 projection = AP2PlaceObjectTag.PROJECTION_AFFINE
                 transform_information = True
diff --git a/bemani/format/afp/types/generic.py b/bemani/format/afp/types/generic.py
index 076ea4e..61d0d1e 100644
--- a/bemani/format/afp/types/generic.py
+++ b/bemani/format/afp/types/generic.py
@@ -247,21 +247,17 @@ class Matrix:
             new.a31 = other.a31
             new.a32 = other.a32
             new.a33 = other.a33
-            new.a41 = other.a41
-            new.a42 = other.a42
-            new.a43 = other.a43
-        else:
-            if other.__scale_set:
-                new.a = other.a
-                new.d = other.d
-            if other.__rotate_set:
-                new.b = other.b
-                new.c = other.c
-            if other.__translate_xy_set:
-                new.tx = other.tx
-                new.ty = other.ty
-            if other.__translate_z_set:
-                new.tz = other.tz
+        if other.__scale_set:
+            new.a = other.a
+            new.d = other.d
+        if other.__rotate_set:
+            new.b = other.b
+            new.c = other.c
+        if other.__translate_xy_set:
+            new.tx = other.tx
+            new.ty = other.ty
+        if other.__translate_z_set:
+            new.tz = other.tz
 
         return new