Nested for loops
This approach iterates through the original matrix using a nested for loop and constructs a new matrix with the transposed elements. It is easy to understand but can be less efficient for larger matrices.
Example: JavaScript program demonstrating matrix transposition by using nested loops to transpose rows and columns in a 2D matrix for enhanced understanding and simplicity.
Javascript
function transpose1(matrix) { const transposed = []; for (let i = 0; i < matrix[0].length; i++) { transposed.push([]); for (let j = 0; j < matrix.length; j++) { transposed[i].push(matrix[j][i]); } } return transposed;}const exampleMatrix = [ [1, 2, 3], [4, 5, 6],];console.log(transpose1(exampleMatrix)); |
Output
[ [ 1, 4 ], [ 2, 5 ], [ 3, 6 ] ]
JavaScript Program to Find the Transpose
The transpose of a matrix in linear algebra is a new matrix that is produced by flipping its rows and columns. Most numerical and mathematical applications depend on this technique.
There are several approaches available to find the transpose of the matrix in JavaScript, which are as follows:
Table of Content
- Nested Loops
- Map and Reduce
- Spread Operator and Reduce