Generate 6x6 array and compute Matrix rank with NumPy

NumPy: Advanced Exercise-23 with Solution

Write a NumPy program to create a 6x6 array with random values and compute the rank of the matrix.

This NumPy program generates a 6x6 array with random values and then computes the rank of the matrix. The rank of a matrix is the maximum number of linearly independent row or column vectors in the matrix.

Sample Solution:

Python Code:

# Importing the necessary NumPy library
import numpy as np

# Create a 6x6 array with random values
array = np.random.rand(6, 6)

# Compute the rank of the matrix
rank = np.linalg.matrix_rank(array)

# Printing the original array and its rank
print("6x6 Array:\n", array)
print("Rank of the array:\n", rank)

Output:

6x6 Array:
 [[0.35821884 0.24951293 0.4067254  0.69948259 0.56775495 0.43700624]
 [0.1970947  0.42463218 0.02494649 0.7973269  0.49270272 0.09471064]
 [0.4135473  0.68226842 0.79785926 0.08811048 0.05472666 0.87031629]
 [0.99204677 0.56798758 0.95294414 0.23025108 0.16168588 0.34648636]
 [0.65915128 0.23049596 0.14487972 0.98587358 0.7798649  0.03003929]
 [0.16702194 0.29662257 0.77849454 0.07513274 0.5119075  0.91652833]]
Rank of the array:
 6

Explanation:

• Import NumPy library: This step imports the NumPy library, which is essential for numerical operations.
• Create a 6x6 array: We use np.random.rand(6, 6) to generate a 6x6 matrix with random values between 0 and 1.
• Compute the rank of the matrix: The np.linalg.matrix_rank function calculates the rank of the given matrix.
• Print results: This step prints the original array and its rank.

Python-Numpy Code Editor:

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