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Questions about the properties of vector spaces and linear transformations, including linear systems in general.
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votes
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answers
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views
The product of non-commuting semisimple matrices need not be semisimple
In general when one proves that the product of semisimple (i.e. diagonalizable) matrices is semisimple one assumes they commute and are thus simultaneously diagonalizable, and then the result follows. …