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math54-f22:hw2-quiz

quiz-style questions:

  • Write down a linear transformation that takes $x^2/4+y^2=1$ to the unit circle. Is it unique? (which means: Is there more than one such linear transformation? )
  • Write down a linear transformation that takes the line $x=y$ to $x=0$. Is it unique?
  • Let $M=\begin{bmatrix} 0 & 1 \cr -1 & 0 \end{bmatrix}$. Compute $M^2, M^3, M^4$.
math54-f22/hw2-quiz.txt · Last modified: 2022/09/02 23:21 by pzhou