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row major vs column major and multiply direction

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When I am using matrices in my opengl program I have been doing multiples left to right.


so say M is my original matrix. if i want to apply a rotation to M i would multiple the rotation matrix R to M in this fation


 Mrotated =M*R


does it mater whether I am using a row major system vs column major system when it come to the direction of my multiply? meaning


this, applying a rotation to M:      M*R




this, applying a rotation to M:      R*M



or are these two separate issues?

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