Final answer:
To write a User Defined Function (UDF) in Python that takes a matrix as input and returns the average value, number of elements greater than average, and number of elements smaller than average, you can use a combination of a 'for' loop and conditional statements.
Step-by-step explanation:
To write a User Defined Function (UDF) in a programming language like Python that takes a matrix as input and returns three outputs, you can use a combination of a 'for' loop and conditional statements. Here's an example:
def matrix_analysis(matrix):
total = 0
count_greater = 0
count_lesser = 0
rows = len(matrix)
cols = len(matrix[0])
for i in range(rows):
for j in range(cols):
total += matrix[i][j]
average = total / (rows * cols)
for i in range(rows):
for j in range(cols):
if matrix[i][j] > average:
count_greater += 1
elif matrix[i][j] < average:
count_lesser += 1
return average, count_greater, count_lesser
# Example usage:
matrix = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]
avg, greater, lesser = matrix_analysis(matrix)
print(f'Average: {avg}')
print(f'Greater than average: {greater}')
print(f'Less than average: {lesser}')
In this example, the function matrix_analysis calculates the average value of the input matrix by iterating through each element and summing them up. Then, it counts the number of elements that are greater than the average value and the number of elements that are smaller than the average value using conditional statements.