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Results tagged with linear-algebra
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user 1708
Questions about the properties of vector spaces and linear transformations, including linear systems in general.
10
votes
Condition for two matrices to share at least one eigenvector?
I'm not sure if this is what you're looking for, but Donu Arapura's website contains notes on algebraic geometry. Starting on page 24 of the notes, he proves that the set of pairs of matrices $(A,B)\ …
- 6,546
4
votes
Abelianization of Lie groups
(In some sense, this is just a restatement of what Eric said above....)
For compact groups, quite a lot can be said. Every compact group H' has a finite cover H which is Lie group isomorphic to $T^{ …
- 6,546