What are matrix transformations?

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Summary:

Quick understanding of transformation of an matrix

Main Question or Discussion Point

What does a transformation of a matrix means and how it could be used?
 

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  • #2
Math_QED
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A matrix corresponds to a linear mapping between (finite dimensional) vector spaces. It can for example be used to model rotations or reflections. Here is a video that explains it better than I ever could:

 
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  • #3
WWGD
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Like QED said, repeating because I think it is an important point in avoiding confusion. A matrix describes or represents a transformation, that is what is usually meant by a matrix transformation.
 
  • #4
mathwonk
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we might need more info from the OP, as to whether he means the linear transformation defined by the matrix, or the transformation of the matrix, i.e.changing it to some other matrix, defined by a change of bases, say.
 
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