# Python 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]. For Square Matrix :

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

 `# Python3 Program to find ` `# transpose of a matrix ` ` `  `N ``=` `4` `  `  `# This function stores ` `# transpose of A[][] in B[][] ` ` `  `def` `transpose(A,B): ` ` `  `    ``for` `i ``in` `range``(N): ` `        ``for` `j ``in` `range``(N): ` `            ``B[i][j] ``=` `A[j][i] ` ` `  `# driver code ` `A ``=` `[ [``1``, ``1``, ``1``, ``1``], ` `    ``[``2``, ``2``, ``2``, ``2``], ` `    ``[``3``, ``3``, ``3``, ``3``], ` `    ``[``4``, ``4``, ``4``, ``4``]] ` `  `  `  `  `B ``=` `A[:][:] ``# To store result ` ` `  `transpose(A, B) ` `  `  `print``(``"Result matrix is"``) ` `for` `i ``in` `range``(N): ` `    ``for` `j ``in` `range``(N): ` `        ``print``(B[i][j], ``" "``, end``=``'') ` `    ``print``() ` `     `  `# This code is contributed by Anant Agarwal. `

Output:

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

For Rectangular Matrix :

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

 `# Python3 Program to find ` `# transpose of a matrix ` ` `  `M ``=` `3` `N ``=` `4` ` `  `# This function stores ` `# transpose of A[][] in B[][] ` ` `  `def` `transpose(A, B): ` ` `  `    ``for` `i ``in` `range``(N): ` `        ``for` `j ``in` `range``(M): ` `            ``B[i][j] ``=` `A[j][i] ` ` `  `# driver code ` `A ``=` `[ [``1``, ``1``, ``1``, ``1``], ` `    ``[``2``, ``2``, ``2``, ``2``], ` `    ``[``3``, ``3``, ``3``, ``3``]] ` ` `  ` `  `# To store result ` `B ``=` `[[``0` `for` `x ``in` `range``(M)] ``for` `y ``in` `range``(N)]  ` ` `  `transpose(A, B) ` ` `  `print``(``"Result matrix is"``) ` `for` `i ``in` `range``(N): ` `    ``for` `j ``in` `range``(M): ` `        ``print``(B[i][j], ``" "``, end``=``'') ` `    ``print``()     `

Output:

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

In-Place for Square Matrix:

 `# Python3 Program to find ` `# transpose of a matrix ` ` `  `N ``=` `4` `  `  `# Finds transpose of A[][] in-place ` `def` `transpose(A): ` ` `  `    ``for` `i ``in` `range``(N): ` `        ``for` `j ``in` `range``(i``+``1``, N): ` `            ``A[i][j], A[j][i] ``=` `A[j][i], A[i][j] ` ` `  `# driver code ` `A ``=` `[ [``1``, ``1``, ``1``, ``1``], ` `    ``[``2``, ``2``, ``2``, ``2``], ` `    ``[``3``, ``3``, ``3``, ``3``], ` `    ``[``4``, ``4``, ``4``, ``4``]] ` `  `  `transpose(A) ` `  `  `print``(``"Modified matrix is"``) ` `for` `i ``in` `range``(N): ` `    ``for` `j ``in` `range``(N): ` `        ``print``(A[i][j], ``" "``, end``=``'') ` `    ``print``() ` `     `  `# This code is contributed by Anant Agarwal. `

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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