Java Program to find transpose of a matrix

Transpose of a matrix is obtained by changing rows to columns and columns to rows. In other words, transpose of A[][] is obtained by changing A[i][j] to A[j][i].

matrix-transpose

For Square Matrix :

The below program finds transpose of A[][] and stores the result in B[][], we can change N for different dimension.

// Java Program to find  
// transpose of a matrix 
  
class GFG 
{ 
    static final int N = 4; 
      
    // This function stores transpose 
    // of A[][] in B[][] 
    static void transpose(int A[][], int B[][]) 
    { 
        int i, j; 
        for (i = 0; i < N; i++) 
            for (j = 0; j < N; j++) 
                B[i][j] = A[j][i]; 
    } 
      
    // Driver code 
    public static void main (String[] args) 
    { 
        int A[][] = { {1, 1, 1, 1}, 
                      {2, 2, 2, 2}, 
                      {3, 3, 3, 3}, 
                      {4, 4, 4, 4}}; 
      
        int B[][] = new int[N][N], i, j; 
      
        transpose(A, B); 
      
        System.out.print("Result matrix is \n"); 
        for (i = 0; i < N; i++) 
        { 
            for (j = 0; j < N; j++) 
            System.out.print(B[i][j] + " "); 
            System.out.print("\n"); 
        } 
    } 
} 
  
// This code is contributed by Anant Agarwal. 

Output:

Result matrix is 
1 2 3 4 
1 2 3 4 
1 2 3 4 
1 2 3 4

For Rectangular Matrix :

The below program finds transpose of A[][] and stores the result in B[][].

// Java Program to find  
// transpose of a matrix 
  
class GFG 
{ 
    static final int M = 3; 
    static final int N = 4; 
      
    // This function stores transpose 
    // of A[][] in B[][] 
    static void transpose(int A[][], int B[][]) 
    { 
        int i, j; 
        for (i = 0; i < N; i++) 
            for (j = 0; j < M; j++) 
                B[i][j] = A[j][i]; 
    } 
      
    // Driver code 
    public static void main (String[] args) 
    { 
        int A[][] = { {1, 1, 1, 1}, 
                      {2, 2, 2, 2}, 
                      {3, 3, 3, 3}}; 
      
        int B[][] = new int[N][M], i, j; 
      
        transpose(A, B); 
      
        System.out.print("Result matrix is \n"); 
        for (i = 0; i < N; i++) 
        { 
            for (j = 0; j < M; j++) 
            System.out.print(B[i][j] + " "); 
            System.out.print("\n"); 
        } 
    } 
} 
  
// This code is contributed by Anant Agarwal. 

Output:

Result matrix is 
1 2 3 
1 2 3 
1 2 3 
1 2 3

In-Place for Square Matrix:

// Java Program to find  
// transpose of a matrix 
  
class GFG 
{ 
    static final int N = 4; 
      
    // Finds transpose of A[][] in-place 
    static void transpose(int A[][]) 
    { 
        for (int i = 0; i < N; i++) 
            for (int j = i+1; j < N; j++) 
            { 
                 int temp = A[i][j]; 
                 A[i][j] = A[j][i]; 
                 A[j][i] = temp; 
            } 
    } 
      
    // Driver code 
    public static void main (String[] args) 
    { 
        int A[][] = { {1, 1, 1, 1}, 
                      {2, 2, 2, 2}, 
                      {3, 3, 3, 3}, 
                      {4, 4, 4, 4}}; 
         
        transpose(A); 
      
        System.out.print("Modified matrix is \n"); 
        for (int i = 0; i < N; i++) 
        { 
            for (int j = 0; j < N; j++) 
            System.out.print(A[i][j] + " "); 
            System.out.print("\n"); 
        } 
    } 
} 

Output:

Modified matrix is 
1 2 3 4 
1 2 3 4 
1 2 3 4 
1 2 3 4

Please refer complete article on Program to find transpose of a matrix for more details!

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