# Transpose of Matrix in Java

Transpose of Matrix in Java

You are given a M * N matrix, find Transpose of Matrix. Transpose of matrix is obtained by interchanging rows and columns of a matrix that is by changing rows to columns and columns to rows.

Lets understand the problem statement graphically and it will be more clear,

### Algorithm

Finding transpose of Matrix is very simple.

Transpose of given matrix can be obtained by changing its rows to columns and columns to rows.
1. Create a Transpose Matrix of,
Rows     = Total column of original matrix.

Column = Total rows of original matrix.

2. Iterate through Original matrix, and fill Transpose Matrix data by interchanging rows to column and column to rows as shown below,
TransposeMatrix[col][row] = OriginalMatrix[row][col].

### Java Program to find Transpose of Matrix

```package matrix;

public class TransposeOfMatrix {

public static void main(String[] args) {
new TransposeOfMatrix();
}

public TransposeOfMatrix() {
int[][] matrix = {
{1,  2,  3,  4,  5},
{6,  7,  8,  9,  10},
{11, 12, 13, 14, 15}
};

System.out.println("Before Transpose");
printMatrix(matrix);

int[][] transposeMatrix = new int[matrix.length][matrix.length];
for (int i = 0; i < matrix.length; i++) {
for (int j = 0; j < matrix.length; j++) {
transposeMatrix[j][i] = matrix[i][j];
}
}
System.out.println("\nAfter Transpose");
printMatrix(transposeMatrix);
}

private void printMatrix(int[][] matrix){
for (int i = 0; i < matrix.length; i++) {
for (int j = 0; j < matrix.length; j++) {
System.out.print(matrix[i][j] + " ");
}
System.out.println();
}
}
}

```

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Enjoy !!!!

If you find any issue in post or face any error while implementing, Please comment.