math54-f22:quiz4
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math54-f22:quiz4 [2022/09/20 19:48] gsi_sergio_escobar created |
math54-f22:quiz4 [2026/02/21 14:41] (current) |
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| ** quiz-style questions: | ** quiz-style questions: | ||
| * Find the sign of the permutation $(4312)$. | * Find the sign of the permutation $(4312)$. | ||
| - | * Compute | + | * Compute $\det(A - \lambda I)$ where $$A = \begin{bmatrix} 1 & 0 & -1\cr 0 & 1 & -1\cr -1 & 1 & 0 \end{bmatrix}$$ |
| * Let $\sigma$ be a permutation of length $\ell > 0$. Show that there must exist some $i$ such that $\sigma(i) > \sigma(i+1)$. | * Let $\sigma$ be a permutation of length $\ell > 0$. Show that there must exist some $i$ such that $\sigma(i) > \sigma(i+1)$. | ||
math54-f22/quiz4.1663703327.txt.gz · Last modified: 2026/02/21 14:44 (external edit)
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