Transpose Matrix in Every Language

Published on 08 October 2020 (Updated: 06 October 2021)

Transpose Matrix in Every Language

In this article, we’ll demonstrate how to find Transpose of a Matrix, its requirements, and how to test it.

Description

In linear algebra, the transpose of a matrix is an operator which flips a matrix over its diagonal; that is, it switches the row and column indices of the matrix A by producing another matrix, often denoted by Aᵀ. For example, the following matrix could be the matrix A:

1 2 3
4 5 6
7 8 9

Once transposed, A becomes the following matrix, Aᵀ:

1 4 7
2 5 8
3 6 9

The transpose of a matrix was introduced in 1858 by the British mathematician Arthur Cayley.

Requirements

For the purposes of this project, we’ll ask that you create a program which accepts a matrix as a list of integers and the dimensions of that matrix in the following format:

transpose-matrix.lang 3 3 "1, 2, 3, 4, 5, 6, 7, 8, 9"

Here, the first two input numbers indicate the column and row size of the matrix, respectively, and the next input is the list of numbers to be included in the matrix.

Testing

Verify that the actual output matches the expected output (see [requirements][1])

Description Cols Rows Matrix Output
No input       Usage: please enter the dimension of the matrix and the serialized matrix
Missing input: Size     1, 2, 3, 4, 5, 6 Usage: please enter the dimension of the matrix and the serialized matrix
Missing input: integers 3 3   Usage: please enter the dimension of the matrix and the serialized matrix
Sample input 3 2 1, 2, 3, 4, 5, 6 1, 4, 2, 5, 3, 6

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