pow:problem6s21
Differences
This shows you the differences between two versions of the page.
| Both sides previous revisionPrevious revision | |||
| pow:problem6s21 [2021/05/10 02:39] – mazur | pow:problem6s21 [2021/05/11 06:45] (current) – mazur | ||
|---|---|---|---|
| Line 1: | Line 1: | ||
| + | <box 80% round orange| Problem 6 (due Monday, May 10)> | ||
| + | |||
| + | Let $A$ and $B$ be square matrices of the same size such that $A^{2020}=I=B^{2020}$ | ||
| + | and $AB=-BA$. Prove that $I+A+B$ is invertible. | ||
| + | (Here $I$ is the identity matrix). | ||
| + | |||
| + | |||
| + | </ | ||
| + | |||
| + | No solutions were submitted. For a detailed solution see the following link {{: | ||