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JavaScript Program to perform Matrix Transpose
Photo Credit to CodeToFun
π 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.
π Example
Now, let's look at the JavaScript code that performs matrix transpose.
// 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);
π» Testing the Program
To test the program with a different matrix, replace the values of the matrix array.
Transposed Matrix: 1 4 2 5 3 6
Run the script to see the transposed matrix.
π§ 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.
π§ 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.
π’ Optimizing the Program
While the provided program is effective, consider exploring and implementing optimizations based on the specific requirements of your application.
Feel free to incorporate and modify this code as needed for your specific use case. Happy coding!
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