Write a function max_matrix(M) that takes in a non-empty matrix (a 2-dimensional array) of real numbers M and returns its maximum value. You must use loops in your code. In python

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Write a function max_matrix(M) that takes in a non-empty matrix (a 2-dimensional array) of real numbers M and returns its maximum value. You must use loops in your code.

In python

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Step 1: Algorithm :
  1. Initialize a variable max_value to the value of the first element in the input matrix M[0][0].
  2. Check if the input matrix M is empty. If it's empty, raise a ValueError indicating that the input matrix is empty.
  3. Iterate through each row in the matrix M using a nested loop.
  4. For each row, iterate through each element in the row using another loop.
    Inside the inner loop, compare the current element element with the max_value.
  5. If the element is greater than the max_value, update max_value with the value of the element.
  6. Continue iterating through all elements of the matrix, comparing each one with max_value and updating max_value when a larger element is found.
  7. After iterating through all elements of the matrix, max_value will hold the maximum value in the entire matrix.
  8. Return max_value as the result.
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