Question

using for loops, write the code to find the sum and average of matrix elements whose values are between 0.3 and 0.6. b. without using for loops, repeat part (a) using logical arrays and vectorized code. you can use sum and mean built-in functions.

Answer 1

To find the sum and average of matrix elements between 0.3 and 0.6, you can use for loops or vectorized code. With for loops, create a variable to store the sum and count, loop through each element, and calculate the average. With vectorized code, use logical arrays and built-in functions to filter and calculate the sum and average.

Step-by-step explanation:

To find the sum and average of matrix elements whose values are between 0.3 and 0.6 using for loops, you can follow these steps:

1. Create a variable to store the sum of the elements and initialize it to 0.
2. Create a variable to keep track of the number of elements within the given range and initialize it to 0.
3. Loop through each element in the matrix.
4. Check if the element's value is between 0.3 and 0.6 using an if statement. If it is, add the element's value to the sum variable and increment the count variable by 1.
5. Outside the loop, calculate the average by dividing the sum by the count.

To repeat the same process without using for loops, you can make use of logical arrays and vectorized code. Here's an example:

import numpy as np

matrix = np.array([[0.1, 0.5, 0.2], [0.4, 0.8, 0.3], [0.7, 0.9, 0.6]])

mask = np.logical_and(matrix >= 0.3, matrix <= 0.6)

filtered_elements = matrix[mask]

sum = np.sum(filtered_elements)
average = np.mean(filtered_elements)