Presenter Information

Stephan Garcia, Pomona CollegeFollow

Location

Brown Hall 100

Start Date

7-18-2016 9:00 AM

End Date

18-7-2016 9:30 AM

Description

We consider three questions concerning similarity of matrices. Which matrices are similar to partial isometries? If $A$ and $B$ are normal, is $AB$ similar to $BA$? Which matrices are unitarily similar to their transposes (and what does this have to do with Lie algebras)? Along the way, we hope to highlight some interesting matrix theory results that deserve to be more widely known.

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Jul 18th, 9:00 AM Jul 18th, 9:30 AM

Three Remarks on Similarity

Brown Hall 100

We consider three questions concerning similarity of matrices. Which matrices are similar to partial isometries? If $A$ and $B$ are normal, is $AB$ similar to $BA$? Which matrices are unitarily similar to their transposes (and what does this have to do with Lie algebras)? Along the way, we hope to highlight some interesting matrix theory results that deserve to be more widely known.