diff --git a/manimlib/camera/camera_frame.py b/manimlib/camera/camera_frame.py
index 78a7d095..96a58f61 100644
--- a/manimlib/camera/camera_frame.py
+++ b/manimlib/camera/camera_frame.py
@@ -38,6 +38,7 @@ class CameraFrame(Mobject):
 
         self.default_orientation = Rotation.identity()
         self.view_matrix = np.identity(4)
+        self.id4x4 = np.identity(4)
         self.camera_location = OUT  # This will be updated by set_points
         self.euler_axes = euler_axes
 
@@ -100,17 +101,15 @@ class CameraFrame(Mobject):
         into the camera's internal coordinate system
         """
         if self._data_has_changed:
-            shift = np.identity(4)
-            rotation = np.identity(4)
-            scale_mat = np.identity(4)
+            shift = self.id4x4.copy()
+            rotation = self.id4x4.copy()
 
+            scale = self.get_scale()
             shift[:3, 3] = -self.get_center()
             rotation[:3, :3] = self.get_inverse_camera_rotation_matrix()
-            scale = self.get_scale()
+            np.dot(rotation, shift, out=self.view_matrix)
             if scale > 0:
-                scale_mat[:3, :3] /= self.get_scale()
-
-            self.view_matrix = np.dot(scale_mat, np.dot(rotation, shift))
+                self.view_matrix[:3, :4] /= scale
 
         return self.view_matrix