Swift Program to Transpose a Matrix

1. Introduction

In the realm of linear algebra and matrices, the transpose of a matrix is a new matrix obtained by exchanging the rows and columns. In this guide, we'll delve into the Swift code to transpose a matrix.

2. Program Overview

Our strategy will be:

1. Define a matrix.

2. Use a function to transpose the matrix.

3. Print the transposed matrix.

3. Code Program

// Function to transpose a matrix func transposeMatrix(_ matrix: [[Int]]) -> [[Int]] { let rowCount = matrix.count let colCount = matrix[0].count var transposed = [[Int]](repeating: [Int](repeating: 0, count: rowCount), count: colCount) for i in 0..<rowCount { for j in 0..<colCount { transposed[j][i] = matrix[i][j] } } return transposed } // Defining a matrix for testing let matrix = [ [1, 2, 3], [4, 5, 6] ] // Transposing the matrix let transposedMatrix = transposeMatrix(matrix) print("Transposed Matrix:") for row in transposedMatrix { print(row) }

Output:

Transposed Matrix: [1, 4] [2, 5] [3, 6]

4. Step By Step Explanation

1. The function transposeMatrix(_:) is set up to transpose a matrix. It returns a 2D integer array.

2. Within the function:

- We first determine the number of rows and columns in the given matrix.- The transposed matrix is initialized with dimensions flipped compared to the input matrix and filled with zeros.- Nested for loops traverse through the matrix. The elements of the matrix are copied to their transposed positions in the transposed matrix.

3. To test the function, we specify a matrix named matrix.

4. We then call the transposeMatrix(_:) function, and afterward, print the transposed matrix.

This method allows for an intuitive and efficient approach to matrix transposition in Swift.


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