Lower Triangular Matrix example in C++

In this article, you will learn how to Write a program to convert a square matrix into a lower triangular matrix in C++.

Examples:


The size of the matrix is: 4
Enter the matrix's elements:
0 0 0 0
1 0 0 0
1 2 0 0
1 2 3 0
This is the Lower Triangular Matrix.

The size of the matrix is: 4

Enter the matrix's elements:

0 0 0 0

1 0 0 0

1 2 0 0

1 2 3 0

This is the Lower Triangular Matrix.


The size of the matrix is: 4
Enter the matrix's elements:
0 0 1 2
0 0 2 3
0 0 3 4
0 0 4 5
This not a Lower Triangular Matrix!

The size of the matrix is: 4

Enter the matrix's elements:

0 0 1 2

0 0 2 3

0 0 3 4

0 0 4 5

This not a Lower Triangular Matrix!

You should have knowledge of the following topics in the C++ programming language to understand this program:

C++ #define directive
C++ Functions
C++ main() function
C++ for loop statement
C++ if-else statement
C++ cin object
C++ cout object

Source Code:


// Lower Triangular Matrix example in C++ programming language using for loop
#include <bits/stdc++.h>
#define size 4
using namespace std;

// @Utility function to check lower triangular matrix
int CheckLowerTriangularMatrix(int matrix[size][size]) {
    int i, j;
    for (i = 0; i < size; i++)
        for (j = i + 1; j < size; j++)
            if (matrix[i][j] != 0)
                return 0;
    return 1;
}

// @Driver function to run the program
int main() {
    int matrix[size][size], i, j;

    cout << "The Size of the matrix is: " << size << endl;

    cout << "\nEnter the matrix's elements:\n";
    for(i = 0; i < size; i++) {
        for(j = 0; j < size; j++)
            cin >> matrix[i][j];
        cout << endl;
    }

    if (CheckLowerTriangularMatrix(matrix))
        cout << "This is the Lower Triangular Matrix.\n";
    else
        cout << "This not a Lower Triangular Matrix!\n";

    return 0;
}

// Lower Triangular Matrix example in C++ programming language using for loop

#include <bits/stdc++.h>

#define size 4

using namespace std;

// @Utility function to check lower triangular matrix

int CheckLowerTriangularMatrix(int matrix[size][size]) {

int i, j;

for (i = 0; i < size; i++)

for (j = i + 1; j < size; j++)

if (matrix[i][j] != 0)

return 0;

return 1;

}

// @Driver function to run the program

int main() {

int matrix[size][size], i, j;

cout << "The Size of the matrix is: " << size << endl;

cout << "\nEnter the matrix's elements:\n";

for(i = 0; i < size; i++) {

for(j = 0; j < size; j++)

cin >> matrix[i][j];

cout << endl;

}

if (CheckLowerTriangularMatrix(matrix))

cout << "This is the Lower Triangular Matrix.\n";

else

cout << "This not a Lower Triangular Matrix!\n";

return 0;

}

Output:


The Size of the matrix is: 4
Enter the matrix's elements:
0 0 0 0
1 0 0 0
1 2 0 0
1 2 3 0
This is the Lower Triangular Matrix.

The Size of the matrix is: 4

Enter the matrix's elements:

0 0 0 0

1 0 0 0

1 2 0 0

1 2 3 0

This is the Lower Triangular Matrix.

Explanation:

In this program, we have defined the size of the matrix is 4 using the C++ #define directive.

Also, made a custom function named CheckLowerTriangularMatrix() to check the given matrix is Lower Triangular Matrix or not.

Then taken 16 elements 4 x 4 = 16 as inputs from the user to derivate this.

Then we passed the matrix into CheckLowerTriangularMatrix() function and It checked for perhaps condition is matching or not.

Lower Triangular Matrix example in C++2 min read

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