There are several operations that we can perform on matrices. The transpose of a matrix is one such operation. The resulting matrix has interchanged rows and columns of the original one. Here in this article, we have provided python source code for transposing a matrix.

## Matrix and Transpose

A matrix is a 2-dimensional array, which is formed by using columns and rows. Matrices are very useful in scientific computation. In Python, to represent a matrix, we use a list of lists. To transpose a matrix, we switch its row values with the column values.

For instance,

[ [1,2,3], [4,5,6] [7,8,9] ]

is a matrix, and for transposing it, we switch its row values with its column values i.e.:

[ [1,4,7] [2,5,8] [3,6,9] ]

**Prerequisite Topics to Create this Program**

- Python Input/output
- Lists in Python
- Python Loop
- Python List comprehension

**Steps for Transposing a Matrix**

- Ask the user to enter the number of rows and columns for a matrix.
- Then using the list comprehension and
*input()*function, ask the user to enter the elements in the matrix. - Create a result matrix, whose dimensions are the invert of the user-entered matrix dimensions. For instance, if the matrix has 2 rows and 3 columns then the resulting matrix (transpose) should have 3 rows and 2 columns.
- Using the nested for loop, we will change the row values with the column values then store them into the resulting matrix.

**Python Program to Transpose a Matrix**

**Code:**

rows = int(input("Enter the Number of rows : " )) column = int(input("Enter the Number of Columns: ")) print("Enter the elements of Matrix:") matrix= [[int(input()) for i in range(column)] for i in range(rows)] print("-------Your Matrix is---------") for n in matrix: print(n) #result matrix of column*row dimension result =[[0 for i in range(rows)] for j in range(column)] #transpose the matrix for r in range(rows): for c in range(column): #here we are grabbing the row data of matrix and putting it in the column on the result result[c][r] = matrix[r][c] print("Transpose matrix is: ") for r in result: print(r)

**Output 1:**

Enter the Number of rows : 3 Enter the Number of Columns: 3 Enter the elements of Matrix: 1 2 3 4 5 6 7 8 9 -------Your Matrix is--------- [1, 2, 3] [4, 5, 6] [7, 8, 9] Transpose matrix is: [1, 4, 7] [2, 5, 8] [3, 6, 9]

**Output 2**

Enter the Number of rows : 2 Enter the Number of Columns: 4 Enter the elements of Matrix: 1 2 3 4 5 6 7 8 -------Your Matrix is--------- [1, 2, 3, 4] [5, 6, 7, 8] Transpose matrix is: [1, 5] [2, 6] [3, 7] [4, 8]

## Conclusion

That was a simple Python program to generate the transpose of a matrix. It is just one of the many operations that we can perform on matrices. These include addition, subtraction, and multiplication. Matrices are very useful in programming, so building a good grasp of them is important.

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