Daily Assignment for Friday, April 25

Due Monday, April 28 on Canvas.

• Complete the worksheet from class.
• Show that, if a Möbius transformation \( f(z) \) is represented as a square matrix \( \begin{pmatrix} a & b \\ c & d \end{pmatrix} \), then the eigenvectors of \( f \) correspond to fixed points of \( f \). Conclude that \( f \) can have either 1 or 2 fixed points.
• We will discuss the insolubility of the quintic on Monday. Optional : reading / reading / watching.
• Assign yourself a grade for this assignment :
  1. At least 60 minutes.
  2. About 45 minutes.
  3. About 30 minutes.
  4. About 15 minutes.
  Submit your grade as a submission comment with your assignment. This comment must be the first comment and it must be exactly 1 character long or the grade won't be registered.