In this tutorial, we will learn how to transpose a matrix in Python. We will cover the basic concept of matrix transposition and implement a function to perform the operation.

Matrix transposition is the process of swapping the rows and columns of a matrix. The element at row `i`

and column `j`

of the original matrix becomes the element at row `j`

and column `i`

in the transposed matrix.

The syntax to transpose a matrix in Python is:

```
def transpose_matrix(matrix):
transposed = []
for i in range(len(matrix[0])):
row = []
for j in range(len(matrix)):
row.append(matrix[j][i])
transposed.append(row)
return transposed
```

We can create a function to transpose a matrix by swapping its rows and columns.

For example,

- Define a function named
`transpose_matrix`

that takes one parameter`matrix`

. - Initialize an empty list
`transposed`

to store the transposed matrix. - Use a nested
`for`

loop to iterate through the elements of the matrix. - In the inner loop, append the element at row
`j`

and column`i`

of the original matrix to a new row. - Append the new row to the
`transposed`

list. - Return the
`transposed`

matrix. - Call the function with a sample matrix and print the result.

```
def transpose_matrix(matrix):
transposed = []
for i in range(len(matrix[0])):
row = []
for j in range(len(matrix)):
row.append(matrix[j][i])
transposed.append(row)
return transposed
# Sample matrix
matrix = [[1, 2, 3],
[4, 5, 6],
[7, 8, 9]]
# Transpose the matrix
result = transpose_matrix(matrix)
# Print the result
print('Transposed matrix is:')
for row in result:
print(row)
```

Transposed matrix is: [1, 4, 7] [2, 5, 8] [3, 6, 9]