# Program to check if matrix is lower triangular

Given a square matrix and the task is to check the matrix is in lower triangular form or not. A square matrix is called lower triangular if all the entries above the main diagonal are zero.

Examples:

```Input : mat[4][4] = {{1, 0, 0, 0},
{1, 4, 0, 0},
{4, 6, 2, 0},
{0, 4, 7, 6}};
Output : Matrix is in lower triangular form.

Input : mat[4][4] = {{1, 0, 0, 0},
{4, 3, 0, 1},
{7, 9, 2, 0},
{8, 5, 3, 6}};
Output : Matrix is not in lower triangular form.
```

## C++

 `// Program to check lower ` `// triangular matrix. ` `#include ` `#define N 4 ` `using` `namespace` `std; ` ` `  `// Function to check matrix is in  ` `// lower triangular form or not. ` `bool` `isLowerTriangularMatrix(``int` `mat[N][N]) ` `{ ` `    ``for` `(``int` `i = 0; i < N; i++) ` `        ``for` `(``int` `j = i + 1; j < N; j++) ` `            ``if` `(mat[i][j] != 0) ` `                ``return` `false``; ` `    ``return` `true``; ` `} ` ` `  `// Driver function. ` `int` `main() ` `{ ` `    ``int` `mat[N][N] = { { 1, 0, 0, 0 }, ` `                      ``{ 1, 4, 0, 0 }, ` `                      ``{ 4, 6, 2, 0 }, ` `                      ``{ 0, 4, 7, 6 } }; ` ` `  `    ``// Function call ` `    ``if` `(isLowerTriangularMatrix(mat)) ` `        ``cout << ``"Yes"``; ` `    ``else` `        ``cout << ``"No"``; ` `    ``return` `0; ` `} `

## Java

 `// Java Program to check for  ` `// a lower triangular matrix. ` `import` `java.io.*; ` ` `  `class` `Lower_triangular ` `{ ` `    ``int` `N = ``4``; ` ` `  `    ``// Function to check matrix is  ` `    ``// in lower triangular form or not. ` `    ``boolean` `isLowerTriangularMatrix(``int` `mat[][]) ` `    ``{ ` `        ``for` `(``int` `i = ``0``; i < N; i++) ` `            ``for` `(``int` `j = i + ``1``; j < N; j++) ` `                ``if` `(mat[i][j] != ``0``) ` `                    ``return` `false``; ` ` `  `        ``return` `true``; ` `    ``} ` ` `  `    ``// Driver function. ` `    ``public` `static` `void` `main(String args[]) ` `    ``{ ` `        ``Lower_triangular ob = ``new` `Lower_triangular(); ` `        ``int` `mat[][] = { { ``1``, ``0``, ``0``, ``0` `}, ` `                        ``{ ``1``, ``4``, ``0``, ``0` `}, ` `                        ``{ ``4``, ``6``, ``2``, ``0` `}, ` `                        ``{ ``0``, ``4``, ``7``, ``6` `} }; ` `                         `  `        ``// Function call ` `        ``if` `(ob.isLowerTriangularMatrix(mat)) ` `            ``System.out.println(``"Yes"``); ` `        ``else` `            ``System.out.println(``"No"``); ` `    ``} ` `} ` ` `  `// This code is contributed by Anshika Goyal. `

## Python3

 `# Python3 Program to check  ` `# lower triangular matrix. ` ` `  `# Function to check matrix  ` `# is in lower triangular ` `def` `islowertriangular(M): ` `    ``for` `i ``in` `range``(``0``, ``len``(M)): ` `        ``for` `j ``in` `range``(i ``+` `1``, ``len``(M)): ` `            ``if``(M[i][j] !``=` `0``):  ` `                    ``return` `False` `    ``return` `True` `     `  `# Driver function. ` `M ``=` `[[``1``,``0``,``0``,``0``], ` `     ``[``1``,``4``,``0``,``0``], ` `     ``[``4``,``6``,``2``,``0``], ` `     ``[``0``,``4``,``7``,``6``]] ` ` `  `if` `islowertriangular(M): ` `    ``print` `(``"Yes"``) ` `else``: ` `    ``print` `(``"No"``) ` `     `  `# This code is contributed by Anurag Rawat `

## C#

 `// C# program to check for ` `// a lower triangular matrix. ` `using` `System; ` ` `  `class` `Lower_triangular  ` `{ ` `    ``int` `N = 4; ` ` `  `    ``// Function to check matrix is ` `    ``// in lower triangular form or not. ` `    ``bool` `isLowerTriangularMatrix(``int``[, ] mat) ` `    ``{ ` `        ``for` `(``int` `i = 0; i < N; i++) ` `            ``for` `(``int` `j = i + 1; j < N; j++) ` `                ``if` `(mat[i, j] != 0) ` `                    ``return` `false``; ` ` `  `        ``return` `true``; ` `    ``} ` ` `  `    ``// Driver function. ` `    ``public` `static` `void` `Main() ` `    ``{ ` `        ``Lower_triangular ob = ``new` `Lower_triangular(); ` `        ``int``[, ] mat = { { 1, 0, 0, 0 }, ` `                        ``{ 1, 4, 0, 0 }, ` `                        ``{ 4, 6, 2, 0 }, ` `                        ``{ 0, 4, 7, 6 } }; ` ` `  `        ``// Function call ` `        ``if` `(ob.isLowerTriangularMatrix(mat)) ` `            ``Console.WriteLine(``"Yes"``); ` `        ``else` `            ``Console.WriteLine(``"No"``); ` `    ``} ` `} ` ` `  `// This code is contributed by vt_m. `

## PHP

 ` `

Output:

```Yes
```

## tags:

Matrix School Programming Matrix