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Ben Grossmann

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  • United States
  • Member since June 12 2013
  • 441 profile views
  • Last seen Sep 03 '23 at 02:07

I received my PhD in mathematics at Drexel University in Philadelphia, PA in 2019. My dissertation was about matrix analysis.

Some answers I had fun putting together:

  • An explanation of two's complements
  • Explaining the transcendental numbers
  • An introductory explanation of homology/cohomology
  • What is knot theory
  • Explaining commutators
  • Explaining double dual spaces
  • Explaining transposes
  • Explaining Lie Groups
  • Guide to matrix norms
  • No 2D Faithful Representations of $S_4$
  • Eigenvalues and complexifications
  • Finite fields: which maps are multiplications?
  • A quick linear algebra chestnut
  • $\operatorname{tr}((AB)^2) \leq \operatorname{tr}(A^2B^2)$
  • Featuring cyclotomic polynomials
  • Norm minimizing solutions

Some of my favorite questions/answers:

  • A classic result from different approaches
  • Apparent patterns that eventually fail
  • Bad math that gets away with it
  • Some great math puzzles
  • Non-derogatory $\iff$ cyclic vector exists

Useful links:

  • Non-symmetric PD matrices have/ "positive eigenvalues"
  • MathJax tutorial and quick-reference
  • How to ask a good question