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# python-scipyHow can I use Python and SciPy to calculate a Hessenberg matrix?

To calculate a Hessenberg matrix using Python and SciPy, the following code can be used:

``````import numpy as np
from scipy.linalg import hessenberg

# Create a random matrix
A = np.random.rand(4,4)

# Calculate the Hessenberg matrix
H = hessenberg(A)

# Print the result
print(H)``````

## Output example

``````[[ 0.14007929  0.76914096  0.63359127  0.73945207]
[ 0.          0.37182786  0.49306886  0.79095296]
[ 0.          0.          0.81248006 -0.465866  ]
[ 0.          0.          0.          0.71701093]]``````

The code consists of the following parts:

1. Importing the `numpy` and `scipy.linalg` modules:
``````import numpy as np
from scipy.linalg import hessenberg``````
1. Generating a random matrix of size 4x4:
``A = np.random.rand(4,4)``
1. Calculating the Hessenberg matrix of the random matrix:
``H = hessenberg(A)``
1. Printing the result:
``print(H)``