Extract the lower triangular part of a 4x4 Random array using NumPy

NumPy: Advanced Exercise-22 with Solution

Write a NumPy program to create a 4x4 array with random values and extract the lower triangular part of the matrix.

This NumPy program creates a 4x4 array filled with random values and then extracts its lower triangular portion. The lower triangular part comprises the elements below the main diagonal.

Sample Solution:

Python Code:

# Importing the necessary NumPy library
import numpy as np

# Create a 4x4 array with random values
array = np.random.rand(4, 4)

# Extract the lower triangular part of the matrix
lower_triangular = np.tril(array)

# Printing the original array and its lower triangular part
print("4x4 Array:\n", array)
print("Lower Triangular Part of the Array:\n", lower_triangular)

Output:

4x4 Array:
 [[0.24206431 0.85784058 0.37914539 0.36559226]
 [0.66368087 0.43859816 0.18437344 0.20330004]
 [0.46842665 0.25517043 0.04631836 0.43460557]
 [0.56584682 0.64265237 0.91558094 0.75886061]]
Lower Triangular Part of the Array:
 [[0.24206431 0.         0.         0.        ]
 [0.66368087 0.43859816 0.         0.        ]
 [0.46842665 0.25517043 0.04631836 0.        ]
 [0.56584682 0.64265237 0.91558094 0.75886061]]

Explanation:

• Import NumPy library: This step imports the NumPy library, which is essential for numerical operations.
• Create a 4x4 array: We use np.random.rand(4, 4) to generate a 4x4 matrix with random values between 0 and 1.
• Extract the lower triangular part of the matrix: The np.tril function extracts the lower triangular part of the matrix, setting elements above the main diagonal to zero.
• Print results: This step prints the original 4x4 array and its lower triangular part.

Python-Numpy Code Editor:

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