📜  Java程序检查矩阵是否为上三角形

📅  最后修改于: 2022-05-13 01:54:49.937000             🧑  作者: Mango

Java程序检查矩阵是否为上三角形

给定一个方阵,任务是检查矩阵是否为上三角形式。如果主对角线以下的所有项都为零,则方阵称为上三角阵。

例子:

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.

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 */


输出:

Yes

有关更多详细信息,请参阅有关程序的完整文章以检查矩阵是否为上三角形!