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