Axis Systems used in Blender and Cycles

Sorry mate, I’m afraid this is as far as I can help you, without spending quite a bit of time to further understand what you’re doing and trying to solve. What helps is a simple example (i.e. simple 3D scene, plus screenshots) that describes what happens and what goes wrong. That might help others in suggesting things to try.

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Can we figure-out the difference between these matrices ?

Thanks a lot @PaulMelis for your time and guidance. I got some clues from your comments. They are really helpful. Will post you my progress.

Thanks again