# Python Program to Find the Maximum Element in the Matrix

In the previous article, we have discussed Python Program to find the Sum of Series 1^2+2^2+3^2…+N^2
Given a matrix, the task is to find the maximum element in the given Matrix in Python

What is a matrix:

A matrix is a rectangular sequence of numbers divided into columns and rows. A matrix element or entry is a number that appears in a matrix.

Example:

Above is the matrix which contains 5 rows and 4 columns and having elements from 1 to 20.

In this order, the dimensions of a matrix indicate the number of rows and columns.

Here as there are 5 rows and 4 columns it is called a 5*4 matrix.

Examples:

Example1:

Input:

Given Matrix
2   9   1
11 4   5
9   2   3
1   2   3

Output:

The maximum element of the given matrix [[2, 9, 1], [11, 4, 5], [9, 2, 3], [1, 2, 3]] is :
11

Example2:

Input:

Given Matrix
1   7   5
25 4   6

Output:

The maximum element of the given matrix [[1, 7, 5], [25, 4, 6]] is :
25

## Program to Find the Maximum Element in the Matrix in Python

Below are the ways to find the maximum element in the given Matrix in Python

### Method #1: Using For Loop (Static Input)

Approach:

• Give the matrix as static input and store it in a variable.
• Calculate the number of rows of the given matrix by calculating the length of the nested list using the len() function and store it in a variable mtrxrows.
• Calculate the number of columns of the given matrix by calculating the length of the first list in the nested list using the len() function and store it in a variable mtrxcolums.
• Take a variable mtrxmax which stores the maximum element of the given matrix and initialize its value to the first element of the given matrix.
• Loop till the given number of rows using the For loop.
• Inside the For loop, Iterate till the given number of rows using another Nested For loop(Inner For loop).
• Check if the gvnmatrix[n][m] value (where n is the iterator value of the parent For loop and m is the iterator value of the inner For loop) is greater than mtrxmax using the if conditional statement.
• If it is true then modify the mtrxmax value with gvnmatrix[n][m] value.
• Print the mtrxmax value which is the maximum element of the given Matrix
• The Exit of the Program.

Below is the implementation:

# Give the matrix as static input and store it in a variable.
mtrx = [[2, 9, 1], [11, 4, 5], [9, 2, 3], [1, 2, 3]]
# Calculate the number of rows of the given matrix by
# calculating the length of the nested list using the len() function
# and store it in a variable mtrxrows.
mtrxrows = len(mtrx)
# Calculate the number of columns of the given matrix by
# calculating the length of the first list in the nested list
# using the len() function and store it in a variable mtrxcols.
mtrxcols = len(mtrx[0])
# Take a variable mtrxmax which stores the maximum element of the given matrix
# and initialize its value to the first element of the given matrix.
mtrxmax = mtrx[0][0]
# Loop till the given number of rows using the For loop.
for n in range(mtrxrows):
# Inside the For loop, Iterate till the given number of rows using another
# Nested For loop(Inner For loop).
for m in range(mtrxcols):
# Check if the gvnmatrix[n][m] value (where n is the iterator value of the
# parent For loop and m is the iterator value of the inner For loop)
# is greater than mtrxmax using the if conditional statement.
if(mtrx[n][m] > mtrxmax):
# If it is true then modify the mtrxmax value with gvnmatrix[n][m] value.
mtrxmax = mtrx[n][m]
# Print the mtrxmax value which is the maximum element of the given Matrix
print('The maximum element of the given matrix', mtrx, 'is :')
print(mtrxmax)


Output:

The maximum element of the given matrix [[2, 9, 1], [11, 4, 5], [9, 2, 3], [1, 2, 3]] is :
11

### Method #2: Using For loop (User Input)

Approach:

• Give the number of rows of the matrix as user input using the int(input()) function and store it in a variable.
• Give the number of columns of the matrix as user input using the int(input()) function and store it in another variable.
• Take a list and initialize it with an empty value using [] or list() to say gvnmatrix.
• Loop till the given number of rows using the For loop
• Inside the For loop, Give all the row elements of the given Matrix as a list using the list(),map(),int(),split() functions and store it in a variable.
• Add the above row elements list to gvnmatrix using the append() function.
• Take a variable mtrxmax which stores the maximum element of the given matrix and initialize its value to the first element of the given matrix.
• Loop till the given number of rows using the For loop.
• Inside the For loop, Iterate till the given number of rows using another Nested For loop(Inner For loop).
• Check if the gvnmatrix[n][m] value (where n is the iterator value of the parent For loop and m is the iterator value of the inner For loop) is greater than mtrxmax using the if conditional statement.
• If it is true then modify the mtrxmax value with gvnmatrix[n][m] value.
• Print the mtrxmax value which is the maximum element of the given Matrix
• The Exit of the Program.

Below is the implementation:

# Give the number of rows of the matrix as user input using the int(input()) function
# and store it in a variable.
mtrxrows = int(input('Enter some random number of rows of the matrix = '))
# Give the number of columns of the matrix as user input using the int(input()) function
# and store it in another variable.
mtrxcols = int(input('Enter some random number of columns of the matrix = '))
# Take a list and initialize it with an empty value using [] or list() to say gvnmatrix.
mtrx = []
# Loop till the given number of rows using the For loop
for n in range(mtrxrows):
# Inside the For loop, Give all the row elements of the given Matrix as a list using
# the list(),map(),int(),split() functions and store it in a variable.
l = list(map(int, input(
'Enter {'+str(mtrxcols)+'} elements of row {'+str(n+1)+'} separated by spaces = ').split()))
# Add the above row elements list to gvnmatrix using the append() function.

mtrx.append(l)
# Take a variable mtrxmax which stores the maximum element of the given matrix
# and initialize its value to the first element of the given matrix.
mtrxmax = mtrx[0][0]
# Loop till the given number of rows using the For loop.
for n in range(mtrxrows):
# Inside the For loop, Iterate till the given number of rows using another
# Nested For loop(Inner For loop).
for m in range(mtrxcols):
# Check if the gvnmatrix[n][m] value (where n is the iterator value of the
# parent For loop and m is the iterator value of the inner For loop)
# is greater than mtrxmax using the if conditional statement.
if(mtrx[n][m] > mtrxmax):
# If it is true then modify the mtrxmax value with gvnmatrix[n][m] value.
mtrxmax = mtrx[n][m]
# Print the mtrxmax value which is the maximum element of the given Matrix
print('The maximum element of the given matrix', mtrx, 'is :')
print(mtrxmax)


Output:

Enter some random number of rows of the matrix = 2
Enter some random number of columns of the matrix = 3
Enter {3} elements of row {1} separated by spaces = 1 7 5
Enter {3} elements of row {2} separated by spaces = 25 4 6
The maximum element of the given matrix [[1, 7, 5], [25, 4, 6]] is :
25

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