Upper or lower triangular matrix

Question:

To check whether the given matrix is an upper or lower triangular matrix or not a triangular matrix

Logic:

Get the matrix as input from the user.
If all the positions i>j are zero or elements below the diagonal are zero is an upper triangular matrix.
If all the positions i<j are zero or elements above the diagonal are zero is a lower triangular matrix.
If both conditions are satisfied or both not satisfy means then the matrix is not a triangular matrix.

Definition:

A square matrix $A$ is said to be an Upper T Matrix if all entries below the main diagonal are zero (if $i > j$ , $a i j = 0$ ) and called a Lower T Matrix if all entries above the main diagonal are zero (if $i < j$ , $a i j = 0$ ).

Let $A$ and $B$ be square $n \times n$ triangular matrices. Then:
a) If $A$ is an upper Triangle matrix, then $A T$ is a lower Triangle matrix. If $A$ is a lower Triangle matrix, then $A T$ is an upper Triangle matrix.
b) If $A$ and $B$ are both upper Triangle matrices, then $A B$ is an upper Triangle matrix. If $A$ and $B$ are both lower Triangle matrices, then $A B$ is a lower Triangle matrix.

More about Triangular matrix>>

Program:


#include<stdio.h>
void main()
{
    int a[10][10],i,j,l=0,k=0,n;
    printf("enter the length:");
    scanf("%d",&n);
    for(i=0;i<n;i++)
    {
        for(j=0;j<n;j++)
        {
            scanf("%d",&a[i][j]);
        }
    }
    for(i=0;i<n;i++)
    {
        for(j=0;j<n;j++)
        {
            if(i>j&&a[i][j]!=0)         //checks for upper triangular matrix
            {
                l=1;
            }
            else if(i<j&&a[i][j]!=0)    //checks for lower triangular matrix
            {
                k=1;
            }
        }
    }
    if(l==k)                           //both vales are equal means not a triangular matrix
    {
        printf("Not a triangular matrix");
    }
    else
    {
        if(l==0)
        {
            printf("Upper triangular matrix");
        }
        else
        {
            printf("Lower triangular matrix");
        }
    }
}

Upper or lower triangular matrix

Question:

Logic:

Definition:

Program:

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