# Thread: Need some clarification on transformation matrices

1. Hi Dark Photon, thank you very much again for commenting on my post. I know as a newbie, my question my be too simple to ask. We don't need to consider opencv. Let us consider the two coordinate systems as found in the image attached.

I think the first step i.e. ( [M'] = [M]*[U]) converts any object in coordinate system (a) so that it looks with similar orientation in coordinate system (b).

Next step ([M''] = [U]*[M']) did conversion so that it matches the coordinate system (b) i.e. opengl coordinate system.

I tried on some simple model and it works. But would be happy to hear further justification from you.

2. I'm sorry. I don't understand your question.

3. Sorry for the confusion. Let me try to explain again. Suppose I have a rotation matrix in coordinate system (a). I would like to see it in coordinate system (b) but with same orientation as shown in (a). The first step ( [M'] = [M]*[U]) does this. Am I right?

4. If I understand your question correctly, yes.

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