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C Program to Check Prime Number Using Efficient Logic

  Introduction A prime number is a number that has exactly two distinct positive divisors: 1 and itself. In this program, we check whether a given number is prime or not using a simple and efficient logic. This type of program is commonly used in mathematics, competitive programming, and basic algorithm learning for beginners in C programming. Problem Statement The task is to write a C program that determines whether a given integer is a prime number or not. The program takes a single integer input from the user and analyzes its divisibility. If the number has no divisors other than 1 and itself, it should be identified as a prime number; otherwise, it is not prime. This problem is important in number theory and has practical relevance in areas such as cryptography, data validation, and algorithm design.  Algorithm / Logic Explanation To check whether a number is prime, we need to verify that it is not divisible by any number other than 1 and itself. The algorithm follows a si...

Transpose of Matrix in C

Transpose of a Matrix in C

✅ Transpose of a Matrix in C

#include <stdio.h>

int main() {
    int row, col;

    printf("Enter number of rows and columns:\n");
    scanf("%d %d", &row, &col);

    int matrix[row][col], transpose[col][row];

    printf("Enter %d elements in the matrix:\n", row * col);
    for(int i = 0; i < row; i++) {
        for(int j = 0; j < col; j++) {
            scanf("%d", &matrix[i][j]);
        }
    }

    // Print Original Matrix
    printf("\nOriginal Matrix:\n");
    for(int i = 0; i < row; i++) {
        for(int j = 0; j < col; j++) {
            printf("%d ", matrix[i][j]);
        }
        printf("\n");
    }

    // Transpose the matrix
    for(int i = 0; i < row; i++) {
        for(int j = 0; j < col; j++) {
            transpose[j][i] = matrix[i][j];
        }
    }

    // Print Transposed Matrix
    printf("\nTransposed Matrix:\n");
    for(int i = 0; i < col; i++) {
        for(int j = 0; j < row; j++) {
            printf("%d ", transpose[i][j]);
        }
        printf("\n");
    }

    return 0;
}
  

๐Ÿ“˜ Explanation:

In this program, we read a 2D matrix from the user and then print its transpose. A transpose of a matrix is formed by interchanging its rows and columns. For example, if element matrix[i][j] is at row i and column j, then it is placed at transpose[j][i] in the transposed matrix.

This method is useful in applications like image processing, solving systems of linear equations, and matrix algebra.

The user first inputs the number of rows and columns. The program then takes all matrix values, prints the original matrix, computes its transpose, and prints the result.

๐Ÿงพ Sample Output:

Enter number of rows and columns:
2 3
Enter 6 elements in the matrix:
1 2 3
4 5 6

Original Matrix:
1 2 3
4 5 6

Transposed Matrix:
1 4
2 5
3 6
  

๐Ÿ”‘ Keywords:

Transpose of Matrix in C, Matrix Transpose C Program, C language 2D Arrays, Matrix Programs in C, C Program with Input and Output, Matrix Logic in C, Transpose Algorithm in C, C Coding Examples, Beginner C Programs

๐Ÿ“Œ Hashtags:

#CProgramming #MatrixTranspose #CPrograms #2DArrays #TransposeInC #CodingInC #BeginnerFriendly #CLanguage

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