C program to find upper triangular matrix

Write a C program to read elements in a matrix and check whether the matrix is upper triangular matrix or not. C program to check upper triangular matrix. Logic to find upper triangular matrix in C programming.

Example

Input

Input elements of matrix:
1 2 3
0 5 6
0 0 9

Output

Matrix is upper triangular

Required knowledge

Basic C programming, For loop, Array

Upper triangular matrix

Upper triangular matrix is a special square matrix whose all elements below the main diagonal is zero.

Upper triangular matrix

Logic to find upper triangular matrix

To check whether a matrix is upper triangular or not we need to check whether all elements below main diagonal are zero or not.
For any matrix A if all elements Aij = 0 (Where ij). Means, if(array[row][col] == 0) and row > col then it is upper triangular matrix.

Must read - Program to find lower triangular matrix

Program to find upper triangular matrix

/**
 * C program to find upper triangular matrix
 */

#include <stdio.h>
#define MAX_ROWS 3
#define MAX_COLS 3

int main()
{
    int array[MAX_ROWS][MAX_COLS];
    int row, col, isUpper;

    /* Input elements in matrix from user */
    printf("Enter elements in matrix of size %dx%d: \n", MAX_ROWS, MAX_COLS);
    for(row=0; row<MAX_ROWS; row++)
    {
        for(col=0; col<MAX_COLS; col++)
        {
            scanf("%d", &array[row][col]);
        }
    }
    
    /* Check Upper triangular matrix condition */
    isUpper = 1;
    for(row=0; row<MAX_ROWS; row++)
    {
        for(col=0; col<MAX_COLS; col++)
        {
            /*
             * If elements below the main diagonal (col<row)
             * is not equal to zero then it is not upper triangular matrix
             */
            if(col<row && array[row][col]!=0)
            {
                isUpper = 0;
            }
        }
    }
    
    /* Print elements of upper triangular matrix  */
    if(isUpper == 1)
    {
        printf("\nThe matrix is Upper triangular matrix.\n");

        for(row=0; row<MAX_ROWS; row++)
        {
            for(col=0; col<MAX_COLS; col++)
            {
                printf("%d ", array[row][col]);
            }

            printf("\n");
        }
    }
    else
    {
        printf("\nThe matrix is not Upper triangular matrix.");
    }

    return 0;
}

Output

Enter elements in matrix of size 3x3:
1 2 3
0 5 6
0 0 9

The matrix is Upper triangular matrix.
1 2 3
0 5 6
0 0 9

Happy coding 😉

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