Question: PYTHON CODE MODIFICATION TO NOT INCLUDE NUMPY (OR ANY OTHER IMPORTED LIBRARIES OR MODULES) Hi, how can I modify this code so that it produces

PYTHON CODE MODIFICATION TO NOT INCLUDE NUMPY (OR ANY OTHER IMPORTED LIBRARIES OR MODULES)

Hi, how can I modify this code so that it produces the same output but doesn't require the use of an imported library such as NumPy? This code is used to find the matrix determinant of the matrix A. I would like to know how to create code without needing external libraries. Thanks.

import numpy as np

# Define the matrix A

A = np.array([[1, -1, 0], [-2, 2, -1], [0, 1, -1]], dtype=float)

# Get the size of the matrix

n = A.shape[0]

# Initialize the determinant to 1

det = 1

# Iterate over each column j

for j in range(n):

# Find the index of the row with the maximum absolute value in column j

p = np.argmax(np.abs(A[j:, j])) + j

# If the maximum value is 0, the determinant is 0

if A[p, j] == 0:

det = 0

break

# If the pivot is not in the j-th row, swap the rows

if p != j:

A[[j, p], :] = A[[p, j], :]

det *= -1

# Eliminate the entries below the pivot in column j

for i in range(j+1, n):

A[i, :] -= (A[i, j]/A[j, j]) * A[j, :]

# Multiply the diagonal elements to get the determinant

det *= A[j, j]

# Print the determinant

print("The determinant is: ", det)

Please provide a screenshot of the working code. Thank you. Will upvote!! :)

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