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I am wondering that what is the geometrical interpertation of matrix multiplication. And how many different ways it could be interpreted? The one obvious use is the transformations... I understand a bit in 3D but how about the n-dimensional multiplication --- what kind of transformations would be there?

So, what I want to know is: 1. How can we interpret matrix multiplication? 2. In how many ways do we interpret? 3. How actually coefficients play role in transformations 4. How to interpret more than 3D matrix multiplications

Thanks a lot.

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    You can interpret matrix multiplication as the composition of linear mappings... try doing it with open sets (like squares) to see how those linear mappings (or matrices) can transform those regions.2012-04-14
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    @Gustavo, Thanks a lot. It would be very nice of you if you could please provide the details.2012-04-14
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    I will be glad to provide some examples, but only tonight or maybe tomorrow! I'm in a hurry right now :P2012-04-16
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    Related: http://math.stackexchange.com/questions/198257/intuition-for-the-product-of-vector-and-matrices-xtax?lq=12015-06-03

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