Program to Compute Transpose of Matrix
- Write a program to Compute Transpose of Matrix in C
- Write a program to Compute Transpose of Matrix in C++
- Write a program to Compute Transpose of Matrix in Python
- Write a program to Compute Transpose of Matrix in PHP
- Write a program to Compute Transpose of Matrix in Java
- Write a program to Compute Transpose of Matrix in Java Script
- Write a program to Compute Transpose of Matrix in C#
Explanation:
The rows of the old matrix are converted to the new matrix’s columns in order to calculate a matrix’s transpose. In particular, the element in the original matrix at position A[i][j] becomes A[j][i] in the transposed matrix.
Steps:
- Input:
- Read an m×nm \times nm×n matrix.
- Initialize:
- Create an empty matrix for the transpose, which will be of size n×mn \times mn×m (the number of rows becomes the number of columns and vice versa).
- Transpose the Matrix:
- For each element A[i][j] in the original matrix:
- Set A′[j][i] = A[i][j] in the transposed matrix.
- For each element A[i][j] in the original matrix:
- Output:
- Print the transposed matrix.
Program to Compute Transpose of Matrix
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C
-
C++
-
Python
-
PHP
-
JAVA
-
Java Script
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C#
#include <stdio.h>
void computeTranspose(int matrix[3][3], int transpose[3][3], int n) {
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
transpose[j][i] = matrix[i][j];
}
}
}
void printMatrix(int matrix[3][3], int n) {
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
printf("%d ", matrix[i][j]);
}
printf("\n");
}
}
int main() {
int matrix[3][3] = {
{1, 2, 3},
{4, 5, 6},
{7, 8, 9}
};
int transpose[3][3];
int n = 3;
computeTranspose(matrix, transpose, n);
printf("Original Matrix:\n");
printMatrix(matrix, n);
printf("\nTranspose Matrix:\n");
printMatrix(transpose, n);
return 0;
}
#include <iostream>
using namespace std;
void computeTranspose(int matrix[3][3], int transpose[3][3], int n) {
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
transpose[j][i] = matrix[i][j];
}
}
}
void printMatrix(int matrix[3][3], int n) {
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
cout << matrix[i][j] << " ";
}
cout << endl;
}
}
int main() {
int matrix[3][3] = {
{1, 2, 3},
{4, 5, 6},
{7, 8, 9}
};
int transpose[3][3];
int n = 3;
computeTranspose(matrix, transpose, n);
cout << "Original Matrix:" << endl;
printMatrix(matrix, n);
cout << "\nTranspose Matrix:" << endl;
printMatrix(transpose, n);
return 0;
}
def compute_transpose(matrix):
n = len(matrix)
transpose = [[0] * n for _ in range(n)]
for i in range(n):
for j in range(n):
transpose[j][i] = matrix[i][j]
return transpose
def print_matrix(matrix):
for row in matrix:
print(" ".join(map(str, row)))
matrix = [
[1, 2, 3],
[4, 5, 6],
[7, 8, 9]
]
transpose = compute_transpose(matrix)
print("Original Matrix:")
print_matrix(matrix)
print("\nTranspose Matrix:")
print_matrix(transpose)
<?php
function computeTranspose($matrix, $n) {
$transpose = array();
for ($i = 0; $i < $n; $i++) {
for ($j = 0; $j < $n; $j++) {
$transpose[$j][$i] = $matrix[$i][$j];
}
}
return $transpose;
}
function printMatrix($matrix, $n) {
for ($i = 0; $i < $n; $i++) {
for ($j = 0; $j < $n; $j++) {
echo $matrix[$i][$j] . " ";
}
echo "\n";
}
}
$matrix = [
[1, 2, 3],
[4, 5, 6],
[7, 8, 9]
];
$n = 3;
$transpose = computeTranspose($matrix, $n);
echo "Original Matrix:\n";
printMatrix($matrix, $n);
echo "\nTranspose Matrix:\n";
printMatrix($transpose, $n);
?>
<div class="contain-inline-size rounded-md border-[0.5px] border-token-border-medium relative bg-token-sidebar-surface-primary dark:bg-gray-950"><div class="overflow-y-auto p-4" dir="ltr"><code class="!whitespace-pre hljs language-java">public class TransposeMatrix {
public static int[][] computeTranspose(int[][] matrix, int n) {
int[][] transpose = new int[n][n];
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
transpose[j][i] = matrix[i][j];
}
}
return transpose;
}
public static void printMatrix(int[][] matrix, int n) {
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
System.out.print(matrix[i][j] + " ");
}
System.out.println();
}
}
public static void main(String[] args) {
int[][] matrix = {
{1, 2, 3},
{4, 5, 6},
{7, 8, 9}
};
int n = 3;
int[][] transpose = computeTranspose(matrix, n);
System.out.println("Original Matrix:");
printMatrix(matrix, n);
System.out.println("\nTranspose Matrix:");
printMatrix(transpose, n);
}
}
function computeTranspose(matrix) {
const n = matrix.length;
const transpose = Array.from({ length: n }, () => Array(n).fill(0));
for (let i = 0; i < n; i++) {
for (let j = 0; j < n; j++) {
transpose[j][i] = matrix[i][j];
}
}
return transpose;
}
function printMatrix(matrix) {
matrix.forEach(row => console.log(row.join(" ")));
}
const matrix = [
[1, 2, 3],
[4, 5, 6],
[7, 8, 9]
];
const transpose = computeTranspose(matrix);
console.log("Original Matrix:");
printMatrix(matrix);
console.log("\nTranspose Matrix:");
printMatrix(transpose);
using System;
class TransposeMatrix {
static int[,] ComputeTranspose(int[,] matrix, int n) {
int[,] transpose = new int[n, n];
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
transpose[j, i] = matrix[i, j];
}
}
return transpose;
}
static void PrintMatrix(int[,] matrix, int n) {
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
Console.Write(matrix[i, j] + " ");
}
Console.WriteLine();
}
}
static void Main() {
int[,] matrix = {
{1, 2, 3},
{4, 5, 6},
{7, 8, 9}
};
int n = 3;
int[,] transpose = ComputeTranspose(matrix, n);
Console.WriteLine("Original Matrix:");
PrintMatrix(matrix, n);
Console.WriteLine("\nTranspose Matrix:");
PrintMatrix(transpose, n);
}
}