Transpose Matrix in Every Language

Welcome to the Transpose Matrix page! Here, you’ll find a description of the project as well as a list of sample programs written in various languages.

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 A^T. 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, A^T:

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

Articles

• Transpose Matrix in Mathematica
• Transpose Matrix in Python

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