Upper Triangular Matrix in C

This is a program to display upper triangular matrix.

Problem Description

This C Program displays the upper triangular matrix.

Problem Solution

1. Create a matrix and define its elements.
2. To print the elements at upper triangle, run a nested for loop with two iterators(i and j) but print only those elements which have index i(row index) greater or equal to j(column index).

Program/Source Code

Here is source code of the C Program to display upper triangular matrix. The program is successfully compiled and tested using Turbo C compiler in windows environment. The program output is also shown below.

```
    /*
```

     * C Program to Display Upper Triangular Matrix

```
     */
```
```
 
```
```
    #include <stdio.h>
```
```
    void main()
```
```
    {
```
```
 
```
```
        int i, j, r, c, array[10][10];
```

        printf("Enter the r and c value:");

```
 
```
```
        scanf("%d%d", &r, &c);
```
```
        for (i = 1; i <= r; i++)
```
```
        {
```
```
            for (j = 1; j <= c; j++)
```
```
            {
```

                printf("array[%d][%d] = ", i, j);

                scanf("%d", &array[i][j]);

```
            }
```
```
        }
```
```
 
```
```
        printf("matrix is");
```
```
        for (i = 1; i <= r; i++)
```
```
        {
```
```
            for (j = 1; j <= c; j++)
```
```
            {
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                printf("%d", array[i][j]);

```
            }
```
```
            printf("\n");
```
```
        }
```
```
 
```
```
        for (i = 1; i <= r; i++)
```
```
        {
```
```
            printf("\n");
```
```
            for (j = 1; j <= c; j++)
```
```
            {
```
```
                if (i >= j)
```
```
                {
```

                    printf("%d", array[i][j]);

```
                }
```
```
                else
```
```
                {
```
```
                    printf("\t");
```
```
                }
```
```
            }
```
```
 
```
```
        }
```
```
 
```
```
        printf("\n\n");
```
```
        for (i = 1; i <= r; i++)
```
```
        {
```
```
            printf("\n");
```
```
            for (j = 1; j <= c; j++)
```
```
            {
```
```
	            if (j >= i)
```
```
                    {
```

                	printf("%d", array[i][j]);

```
            	    }
```
```
            	    else 
```
```
                    {
```
```
                	//printf("\t");
```
```
	            }
```
```
            // printf("\n");
```
```
 
```
```
        }
```
```
 
```
```
    }
```

Program Explanation

1. Declare a matrix of some fixed capacity, take its order as input from users and define the elements of the matrix.
2. Again start a nested for loop with two iterators i and j. i keeping track of row and j keeping track of column.
3. Put a condition inside this loop, if value of i(row) is greater than or equal to j(column), only then the element having index i and j belongs to upper triangle, print it, else continue with the loop.

Runtime Test Cases

Enter the r and c value:3 3
array[1][1] = 1 1 1
array[1][2] = array[1][3] = array[2][1] = 1 1 0
array[2][2] = array[2][3] = array[3][1] = 2 0 0
array[3][2] = array[3][3] = matrix is
111
110
200
 
1
11
200

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