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, MatrixUpper 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 Aij = 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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