JavaScript Program to perform Matrix Transpose

Posted in JavaScript Tutorial

Updated on Nov 22, 2024

By Mari Selvan

👁️ 90 - Views

⏳ 4 mins

💬 1 Comment

JavaScript Program to perform Matrix Transpose

Photo Credit to CodeToFun

🙋 Introduction

Matrix operations are fundamental in various fields of computer science and mathematics. One common operation is the transpose of a matrix.

Transposing a matrix involves swapping its rows with columns, resulting in a new matrix where the rows of the original matrix become the columns, and vice versa.

In this tutorial, we'll explore a JavaScript program that performs the transpose operation on a given matrix.

Understanding and implementing matrix operations is essential for various applications, including graphics, scientific computing, and data manipulation.

📄 Example

Now, let's look at the JavaScript code that performs matrix transpose.

transposeMatrix.js

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// Function to perform matrix transpose
function transposeMatrix(matrix) {
  const rows = matrix.length;
  const cols = matrix[0].length;

  // Performing the transpose operation
  const transposedMatrix = new Array(cols).fill(0).map(() => new Array(rows).fill(0));

  for (let i = 0; i < cols; ++i) {
    for (let j = 0; j < rows; ++j) {
      transposedMatrix[i][j] = matrix[j][i];
    }
  }

  // Displaying the transposed matrix
  console.log("Transposed Matrix:");
  for (let i = 0; i < cols; ++i) {
    console.log(transposedMatrix[i].join("\t"));
  }
}

// Driver program
// Replace this matrix with your desired matrix
const matrix = [
  [1, 2, 3],
  [4, 5, 6]
];

// Call the function to perform matrix transpose
transposeMatrix(matrix);

💻 Testing the Program

To test the program with a different matrix, replace the values of the matrix array.

Output

Transposed Matrix:
1       4
2       5
3       6

Run the script to see the transposed matrix.

🧠 How the Program Works

The program defines a function transposeMatrix that takes a matrix as input and computes the transpose of the matrix.
Inside the function, it uses nested loops to swap the rows with columns and stores the result in a new matrix transposedMatrix.
The transposed matrix is then displayed.

🧐 Understanding the Concept of Matrix Transpose

Matrix transpose is a fundamental operation where the rows and columns of a matrix are swapped. If a matrix has dimensions m×n, its transpose will have dimensions n×m. The element at position (i, j) in the original matrix becomes the element at position (j,i) in the transposed matrix.