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**R**. Normally you could multiply this rotation matrix by a 2x1 column matrix / vector

**X**. In that case it would be

**XR**to get the vector rotated in the way described by

**R**. Now what I'm wondering is, what if I had 3 column vectors that I wanted to combine and multiply column-wise. Is there a mathematical way to describe having this new matrix and doing the operation on each column individually, then putting it back into the same type of matrix?

**XR**in this case... can I?