# Symbols:T/Transpose of Matrix

## Transpose of Matrix

$\mathbf A^\intercal$

Symbol used for Transpose of Matrix.

Let $\mathbf A = \sqbrk \alpha_{m n}$ be an $m \times n$ matrix over a set.

Then the transpose of $\mathbf A$ is denoted $\mathbf A^\intercal$ and is defined as:

$\mathbf A^\intercal = \sqbrk \beta_{n m}: \forall i \in \closedint 1 n, j \in \closedint 1 m: \beta_{i j} = \alpha_{j i}$

The $\LaTeX$ code for $\mathbf A^\intercal$ is \mathbf A^\intercal .