# Program to find the maximum element in a Matrix

Given a NxM matrix. The task is to find the maximum element in this matrix.

Examples:

```Input: mat = {{1, 2, 3, 4},
{25, 6, 7, 8},
{9, 10, 11, 12},
{13, 14, 15, 16}};
Output: 25

Input: mat = {{9, 8, 7, 6},
{5, 4, 3, 2},
{1, 0, 12, 45}};
Output: 45
```

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Approach: The idea is to traverse the matrix using two nested loops, one for rows and one for columns and find the maximum element. Initialize a variable maxElement with a minimum value and traverse the matrix and compare every time if the current element is greater than a maxElement. If yes then update maxElement with the current element.

Below is the implementation of the above approach:

## C++

 `// CPP code to find max element in a matrix ` `#include ` `using` `namespace` `std; ` ` `  `#define N 4 ` `#define M 4 ` ` `  `// Function to find max element ` `// mat[][] : 2D array to find max element ` `int` `findMax(``int` `mat[N][M]) ` `{ ` ` `  `    ``// Initializing max element as INT_MIN ` `    ``int` `maxElement = INT_MIN; ` ` `  `    ``// checking each element of matrix ` `    ``// if it is greater than maxElement, ` `    ``// update maxElement ` `    ``for` `(``int` `i = 0; i < N; i++) { ` `        ``for` `(``int` `j = 0; j < M; j++) { ` `            ``if` `(mat[i][j] > maxElement) { ` `                ``maxElement = mat[i][j]; ` `            ``} ` `        ``} ` `    ``} ` ` `  `    ``// finally return maxElement ` `    ``return` `maxElement; ` `} ` ` `  `// Driver code ` `int` `main() ` `{ ` ` `  `    ``// matrix ` `    ``int` `mat[N][M] = { { 1, 2, 3, 4 }, ` `                      ``{ 25, 6, 7, 8 }, ` `                      ``{ 9, 10, 11, 12 }, ` `                      ``{ 13, 14, 15, 16 } }; ` ` `  `    ``cout << findMax(mat) << endl; ` ` `  `    ``return` `0; ` `} `

## Java

 `// Java code to find max element in a matrix ` ` `  `public` `class` `GFG { ` `     `  `    ``final` `static` `int` `N = ``4``; ` `    ``final` `static` `int`  `M = ``4` `; ` ` `  `    ``// Function to find max element ` `    ``// mat[][] : 2D array to find max element ` `    ``static` `int` `findMax(``int` `mat[][]) ` `    ``{ ` ` `  `        ``// Initializing max element as INT_MIN ` `        ``int` `maxElement = Integer.MIN_VALUE; ` ` `  `        ``// checking each element of matrix ` `        ``// if it is greater than maxElement, ` `        ``// update maxElement ` `        ``for` `(``int` `i = ``0``; i < N; i++) { ` `            ``for` `(``int` `j = ``0``; j < M; j++) { ` `                ``if` `(mat[i][j] > maxElement) { ` `                    ``maxElement = mat[i][j]; ` `                ``} ` `            ``} ` `        ``} ` ` `  `        ``// finally return maxElement ` `        ``return` `maxElement; ` `    ``} ` ` `  `     `  `    ``// Driver code ` `    ``public` `static` `void` `main(String args[]) ` `    ``{ ` `           ``// matrix ` `        ``int` `mat[][] = { { ``1``, ``2``, ``3``, ``4` `}, ` `                          ``{ ``25``, ``6``, ``7``, ``8` `}, ` `                          ``{ ``9``, ``10``, ``11``, ``12` `}, ` `                          ``{ ``13``, ``14``, ``15``, ``16` `} }; ` ` `  `        ``System.out.println(findMax(mat)) ; ` `   `  `    ``} ` `    ``// This Code is contributed by ANKITRAI1 ` `} `

## Python3

 `# Python 3 code to find max element  ` `# in a matrix ` `import` `sys ` `N ``=` `4` `M ``=` `4` ` `  `# Function to find max element ` `# mat[][] : 2D array to find max element ` `def` `findMax(mat): ` `     `  `    ``# Initializing max element as INT_MIN ` `    ``maxElement ``=` `-``sys.maxsize ``-` `1` ` `  `    ``# checking each element of matrix ` `    ``# if it is greater than maxElement, ` `    ``# update maxElement ` `    ``for` `i ``in` `range``(N): ` `        ``for` `j ``in` `range``(M): ` `            ``if` `(mat[i][j] > maxElement): ` `                ``maxElement ``=` `mat[i][j] ` `         `  `    ``# finally return maxElement ` `    ``return` `maxElement ` ` `  `# Driver code ` `if` `__name__ ``=``=` `'__main__'``: ` `     `  `    ``# matrix ` `    ``mat ``=` `[[``1``, ``2``, ``3``, ``4``], ` `           ``[``25``, ``6``, ``7``, ``8``], ` `           ``[``9``, ``10``, ``11``, ``12``], ` `           ``[``13``, ``14``, ``15``, ``16``]] ` `    ``print``(findMax(mat)) ` ` `  `# This code is contributed by ` `# Surendra_Gangwar `

## C#

 `// C# code to find max element in a matrix ` `using` `System; ` ` `  `class` `GFG { ` `     `  `    ``static` `int` `N = 4; ` `    ``static` `int` `M = 4 ; ` ` `  `    ``// Function to find max element ` `    ``// mat[,] : 2D array to find max element ` `    ``static` `int` `findMax(``int``[,] mat) ` `    ``{ ` ` `  `        ``// Initializing max element as INT_MIN ` `        ``int` `maxElement = ``int``.MinValue; ` ` `  `        ``// checking each element of matrix ` `        ``// if it is greater than maxElement, ` `        ``// update maxElement ` `        ``for` `(``int` `i = 0; i < N; i++) { ` `             `  `            ``for` `(``int` `j = 0; j < M; j++) { ` `                 `  `                ``if` `(mat[i,j] > maxElement) { ` `                     `  `                    ``maxElement = mat[i,j]; ` `                ``} ` `            ``} ` `        ``} ` ` `  `        ``// finally return maxElement ` `        ``return` `maxElement; ` `    ``} ` ` `  `     `  `    ``// Driver code ` `    ``public` `static` `void` `Main() ` `    ``{ ` `         `  `        ``// matrix ` `        ``int``[,]mat = {{ 1, 2, 3, 4}, ` `                     ``{25, 6, 7, 8}, ` `                     ``{9, 10, 11, 12}, ` `                     ``{13, 14, 15, 16}}; ` ` `  `        ``Console.Write(findMax(mat)) ; ` `    ``} ` `     `  `} ` ` `  `// This code is contributed by ChitraNayal `

## PHP

 ` ``\$maxElement``) ` `            ``{ ` `                ``\$maxElement` `= ``\$mat``[``\$i``][``\$j``]; ` `            ``} ` `        ``} ` `    ``} ` ` `  `    ``// finally return maxElement ` `    ``return` `\$maxElement``; ` `} ` ` `  `// Driver code ` `\$mat` `= ``array``(``array``(1, 2, 3, 4), ` `             ``array``(25, 6, 7, 8), ` `             ``array``(9, 10, 11, 12), ` `             ``array``(13, 14, 15, 16)); ` ` `  `echo` `findMax(``\$mat``) . ``"\n"``; ` ` `  `// This code is contributed  ` `// by Akanksha Rai ` `?> `

Output:

```25
```

Time Complexity: O(N*M)

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