Program to check if matrix is upper triangular
Given a square matrix and the task is to check the matrix is in upper triangular form or not. A square matrix is called upper triangular if all the entries below the main diagonal are zero.
Examples:
Input : mat[4][4] = {{1, 3, 5, 3},
{0, 4, 6, 2},
{0, 0, 2, 5},
{0, 0, 0, 6}};
Output : Matrix is in Upper Triangular form.
Input : mat[4][4] = {{5, 6, 3, 6},
{0, 4, 6, 6},
{1, 0, 8, 5},
{0, 1, 0, 6}};
Output : Matrix is not in Upper Triangular form.
C++
// Program to check upper triangular matrix. #include <bits/stdc++.h> #define N 4 using namespace std; // Function to check matrix is in upper triangular // form or not. bool isUpperTriangularMatrix(int mat[N][N]) { for (int i = 1; i < N; i++) for (int j = 0; j < i; j++) if (mat[i][j] != 0) return false; return true; } // Driver function. int main() { int mat[N][N] = { { 1, 3, 5, 3 }, { 0, 4, 6, 2 }, { 0, 0, 2, 5 }, { 0, 0, 0, 6 } }; if (isUpperTriangularMatrix(mat)) cout << "Yes"; else cout << "No"; return 0; } |
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Java
// Java Program to check upper // triangular matrix. import java.util.*; import java.lang.*; public class GfG { private static final int N = 4; // Function to check matrix is in // upper triangular form or not. public static Boolean isUpperTriangularMatrix(int mat[][]) { for (int i = 1; i < N ; i++) for (int j = 0; j < i; j++) if (mat[i][j] != 0) return false; return true; } // driver function public static void main(String argc[]){ int[][] mat= { { 1, 3, 5, 3 }, { 0, 4, 6, 2 }, { 0, 0, 2, 5 }, { 0, 0, 0, 6 } }; if (isUpperTriangularMatrix(mat)) System.out.println("Yes"); else System.out.println("No"); } } /* This code is contributed by Sagar Shukla */ |
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Python3
# Python3 Program to check upper # triangular matrix. # Function to check matrix # is in upper triangular def isuppertriangular(M): for i in range(1, len(M)): for j in range(0, i): if(M[i][j] != 0): return False return True # Driver function. M = [[1,3,5,3], [0,4,6,2], [0,0,2,5], [0,0,0,6]] if isuppertriangular(M): print ("Yes") else: print ("No") # This code is contributed by Anurag Rawat |
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C#
// C# Program to check upper // triangular matrix. using System; public class GfG { private static int N = 4; // Function to check matrix is in // upper triangular form or not. public static bool isUpperTriangularMatrix(int [,]mat) { for (int i = 1; i < N ; i++) for (int j = 0; j < i; j++) if (mat[i, j] != 0) return false; return true; } // Driver function public static void Main(){ int [,]mat= { { 1, 3, 5, 3 }, { 0, 4, 6, 2 }, { 0, 0, 2, 5 }, { 0, 0, 0, 6 } }; if (isUpperTriangularMatrix(mat)) Console.WriteLine("Yes"); else Console.WriteLine("No"); } } /* This code is contributed by vt_m */ |
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PHP
<?php // PHP Program to check upper // triangular matrix. $N = 4; // Function to check matrix is // in upper triangular form or // not. function isUpperTriangularMatrix($mat) { global $N; for ($i = 1; $i < $N; $i++) for ($j = 0; $j < $i; $j++) if ($mat[$i][$j] != 0) return false; return true; } // Driver Code $mat = array(array(1, 3, 5, 3), array(0, 4, 6, 2) , array(0, 0, 2, 5), array(0, 0, 0, 6)); if (isUpperTriangularMatrix($mat)) echo "Yes"; else echo"No"; // This code is contributed by anuj_67. ?> |
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Output:
Yes
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