Matrix Operations

Explore frequently used operations on matrices.

Transpose

A transpose of the matrix Am×nA_{m \times n} is another matrix, An×mTA^T_{n \times m} such that i\forall i, the ithi^{th} row of AA becomes the ithi^{th} column of ATA^T.

Example

A=[123562],AT=[152632]A=\begin{bmatrix}1&2&3\\5&6&2\end{bmatrix} , A^T=\begin{bmatrix}1&5\\2&6\\3&2\end{bmatrix} ...