#### Introduction

- Matrix Transposition is an operation that converts one matrix into another.
- Each row in the original matrix is used as a column in the transposed matrix.

#### Notation

There are two main notations used to show that a matrix is transposed:- Using a prime: the transpose of matrix
**A** is **A'** - Using a
**T** superscript: the tranpose of matrix **A** is **A**^{T}

#### Example

#### code (Python)

```
import numpy as np
a = np.matrix([[3, 6, 2], [5, 1, 10]])
print(a)
transposed = a.transpose()
print(transposed)
```

#### Notes

- The order (or dimension) of a matrix is switched when transposing, i.e. a 3x2 matrix creates a 2x3 matrix.