Let's say that I have an object and a camera (its representation) in a 3D world coordinate system. I have the camera pose to see the object (rotation matrix and translation (eye position)). If I apply a transform matrix to the object (a certain scaling/translation/rotation), what do I need to find the correct transform matrix that'll move my camera pose in order that what the camera sees remain unchanged (like it was before the transform was applied on the object)? I can't just apply the same transform as the object (it'll work for a translation, but rotation will cause to lose its target...). Also, a restriction that I have is that I can't apply transforms directly on the world, only on the object itself and on the camera itself (rotation/scaling/translation about the world coordinate system center).
Thanks to anyone that will takes time to help me! (Sorry for grammar errors, I speak French)