Matrix Operations

Transpose

A transpose of the matrix $A_{m \times n}$ is another matrix, $A^T_{n \times m}$ such that $\forall i$, the $i^{th}$ row of $A$ becomes the $i^{th}$ column of $A^T$.

Example

$$A=\begin{bmatrix}1&2&3\\5&6&2\end{bmatrix} , A^T=\begin{bmatrix}1&5\\2&6\\3&2\end{bmatrix}$$ ...