```python
import sympy as sp
sp.init_printing()
```


```python
eps = sp.Symbol("epsilon")
lam = sp.Symbol("lambda")
```


```python
m = sp.Matrix([[1, eps], [eps, 1]])
m
```


```python
m.charpoly(lam)
```

Observe the occurrence of $(1-\epsilon^2)$ above.

6501daeebe3744771d36657b3acff6ab87397ea8
ipynb
Jupyter Notebook
eigenvalue/Rounding in characteristic polynomial using SymPy.ipynb
JiaheXu/MATH
9cb2b412ba019794702cacf213471742745d17a6
MIT
eigenvalue/Rounding in characteristic polynomial using SymPy.ipynb
JiaheXu/MATH
9cb2b412ba019794702cacf213471742745d17a6
MIT
eigenvalue/Rounding in characteristic polynomial using SymPy.ipynb
JiaheXu/MATH
9cb2b412ba019794702cacf213471742745d17a6
MIT
Qwen/Qwen-72B
1. YES
2. YES