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## Raise a numpy array to a power

Last Updated on Wednesday 5th Oct 2022

## Numpy Matrix Power

### numpy.linalg.matrix_power

Raise a square matrix to the (integer) power n.

For positive integers n, the power is computed by repeated matrix squarings and matrix multiplications. If `n == 0`, the identity matrix of the same shape as M is returned. If `n < 0`, the inverse is computed and then raised to the abs(n).

### matrix power numpy

```			```
import numpy as np
x = np.arange(9).reshape(3,3)
y = np.matrix(x)

a = y**3
b = np.linalg.matrix_power(x, 3)

print a
print b
assert np.all(a==b)

```

```
```			```
In [19]: a
Out[19]:
matrix([
[ 180,  234,  288],
[ 558,  720,  882],
[ 936, 1206, 1476]
])

In [20]: b
Out[20]:
array([
[ 180,  234,  288],
[ 558,  720,  882],
[ 936, 1206, 1476]
])

```

```

### numpy raise matrix to power

```			```
from numpy.linalg import matrix_power
i = np.array([[0, 1], [-1, 0]])

matrix_power(i, 3)

array([
[ 0, -1],
[ 1,  0]
])

```

```
```			```
matrix_power(i, 0)
array([
[1, 0],
[0, 1]
])

```

```