Matrix multiplication is not commutative. What is the work around or solution?

Question

I basically have this problem:

Generic Simple 3D Matrix Rotation Issue

and it is driving me mad. I have been on Google for hours but cannot find any posts about

Answer 1

The solution/workaraound is to apply the rotations in the correct order.

If you have rotation matrices A, B and C and want to apply them to matrix M in order A, B, C then the solution is:

First apply A:

A * M

Then B:

B * A * M

And finally C:

C * B * A * M

If you want to apply ABC frequently you can precalculate the combined rotation matrix R:

R = C * B * A

and then you can apply R to M:

R * M