Given an $m\times n$ real or complex matrix $A$, this application calculate its transpose $A^T$, if $A$ is a real matrix, or conjugate transpose $A^\star$ , if $A$ is a complex matrix. $A^T$ is an $n\times m$ real matrix and has the property: \[ [A^T]_{ij} = [A]_{ji} \] i.e. the $i^{\mbox{th}}$ row, $j^{\mbox{th}}$ column element of $A^T$ is the $j^{\mbox{th}}$ row, $i^{\mbox{th}}$ column element of $A$. In the case of conjugate transpose matrix $A^\star$, it has the property \[ [A^\star]_{ij} = \overline{[A]_{ji}} \]

See Input Data for the description of how to enter matrix or just click Example for a simple example. Note that this calculator can be used as a scientific calculator. Just enter math expression (without white space) and click Calculate.

Matrix Transpose Calculator