Changelog

**April 22, 2025

• Added dates for all exams given since Spring 2022

April 5, 2025

• Updated this problem to remove an incorrect hint. (Previously, the second part of the problem claimed that the kernel of the morphism required two generators, contrary to the fact that $\mathbf{Z}[i]$ is a PID.)

April 4, 2025

• Added this changelog page
• Removed from the Problem Bank all problems referencing Jordan canonical form and/or general inner product spaces. Specifically, the following four problems below were removed from the pool
  • Jordan canonical form of a matrix
  • Jordan canonical form of a matrix (2)
  • Numerical range of a linear transformation
  • Projections and adjoints

March 31, 2025

• Added Notation Key
• Updated typography

March 29, 2025
Initial release, including:

• Exam overview at The Algebra Qual
• Exam syllabus
• Problem bank, consisting of all problems asked on exams between March 2014 and January 2025
• Recreation of all exams between March 2014 and January 2025

Related pages

Home for the Algebra Qual
Exam Syllabus
Notation Key
Problem bank
Past exams