```
# Se importan las librerias para calculo simbolico
from IPython.display import display

from sympy import var, simplify, collect, expand, solve, sin, cos, Matrix, eye, diff, Function, expand_power_base, exp
from sympy.physics.mechanics import mlatex, mechanics_printing
mechanics_printing()
```


```
var("s, t, lamda")
```


```
A = Matrix([[-2, 3, 0], [0, 1, 0], [0, 1, -1]])
```


```
(s*eye(3) - A).inv()
```


```
exp(A*t)
```


```
exp(A*t).subs(t, 0)
```


```
exp(A*t).diff(t) == A*exp(A*t)
```




    True




```
(Matrix([[1, -1, 1], [1, 1, 1], [1, -2, 4]]).inv()*Matrix([[exp(-t)], [exp(t)], [exp(-2*t)]])).T
```


```
(Matrix([[1, -1, 1], [1, 1, 1], [1, -2, 4]]).inv()*Matrix([[exp(-t)], [exp(t)], [exp(-2*t)]]))
```

91dea5e4917948333ec14cc1b295d65ab8aa42a4
ipynb
Jupyter Notebook
IPythonNotebooks/Sistemas lineales/Prueba matriz exponencial.ipynb
robblack007/DCA
0ea5f8b613e2dabe1127b857c7bfe9be64c52d20
MIT
IPythonNotebooks/Sistemas lineales/Prueba matriz exponencial.ipynb
robblack007/DCA
0ea5f8b613e2dabe1127b857c7bfe9be64c52d20
MIT
IPythonNotebooks/Sistemas lineales/Prueba matriz exponencial.ipynb
robblack007/DCA
0ea5f8b613e2dabe1127b857c7bfe9be64c52d20
MIT
2021-03-20T12:44:13.000Z
2021-03-20T12:44:13.000Z
Qwen/Qwen-72B
1. YES
2. YES