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