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.

If elements of matrix are:

1 2 3

0 5 6

0 0 9

Output: Matrix is upper triangular

For any matrix

If A[i][j] == 0 and i > j then it is upper triangular matrix.

Happy coding ;)

**Example:**If elements of matrix are:

1 2 3

0 5 6

0 0 9

Output: Matrix is upper triangular

### Required knowledge:

Basic C programming, For loop, Array, Matrix#### Upper triangular matrix

Upper triangular matrix is a special type of square matrix whose all elements below the main diagonal is zero.### Algorithm 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.For any matrix

**A**if all elements**A**_{ij}= 0 (Where i ≥ j)If A[i][j] == 0 and i > j then it is upper triangular matrix.

### Program:

/** * C program to find upper triangular matrix */ #include <stdio.h> int main() { int A[3][3]; int row, col, isUpper; /* * Reads elements in matrix from user */ printf("Enter elements in matrix of size 3x3: \n"); for(row=0; row<3; row++) { for(col=0; col<3; col++) { scanf("%d", &A[row][col]); } } /* * Checks whether the matrix is Upper triangular */ isUpper = 1; for(row=0; row<3; row++) { for(col=0; col<3; col++) { /* * If elements below the main diagonal (col<row) * is not equal to zero then it is not upper triangular matrix */ if(col<row && A[row][col]!=0) { isUpper = 0; } } } /* * If it is upper triangular matrix */ if(isUpper==1) { printf("This is a Upper triangular matrix.\n"); for(row=0; row<3; row++) { for(col=0; col<3; col++) { if(A[row][col] != 0) { printf("%d ", A[row][col]); } } printf("\n"); } } else { printf("This is Not a Upper triangular matrix."); } return 0; }

Output

Enter elements in matrix of size 3x3:

1 2 3

0 5 6

0 0 9

This is a Upper triangular matrix.

1 2 3

5 6

9

1 2 3

0 5 6

0 0 9

This is a Upper triangular matrix.

1 2 3

5 6

9

Happy coding ;)

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