rref of an augmented matrix in python in python

To find the Reduced Row Echelon Form (rref) of an augmented matrix using Python, you can use the numpy library, which provides convenient functions for linear algebra operations.

First, you need to import the numpy module:

main.py
import numpy as np
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Next, define the augmented matrix as a two-dimensional NumPy array:

main.py
matrix = np.array([[1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12]])
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To calculate the rref of the augmented matrix, use the scipy.linalg module's rref function:

main.py
from scipy.linalg import rref
rref_matrix, pivots = rref(matrix)
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The rref function returns two values: the rref matrix and the indices of the pivot columns. You can print the resultant rref matrix and pivot columns using the following code:

main.py
print("rref matrix:")
print(rref_matrix)
print("\nPivot columns:")
print(pivots)
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Here's the complete code:

main.py
import numpy as np
from scipy.linalg import rref

matrix = np.array([[1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12]])
rref_matrix, pivots = rref(matrix)

print("rref matrix:")
print(rref_matrix)
print("\nPivot columns:")
print(pivots)
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This will give you the rref form of the augmented matrix along with the pivot columns.